Postgres table with select distinct and multiple sub queries - postgresql

Question

I have a table in Postgres 9.2 with 38 variables and I need a selection of the "best" results.
What I need is:
distinct var1 and var2 then from that:
min var3 and also var4 from that same row
max var5 and if more than one result then where min var3, var6 to var12 from that same row
var13 sorted by conditions (3 first, 6 second 0 last) and also var14-var18 from that same row
v1 v2 v3 v4 v5 v6 v7 v8 v9 v10 v11 v12 v13 v14 v15 v16 v17 v18 ...
1 1 2 a 2 a . . . . . . 0 . . . . .
1 1 1 b 1 b . . . . . . 3 . . . . .
1 2 4 c 3 c . . . . . . 3 . . . . .
1 2 3 d 4 d . . . . . . 6 . . . . .
2 1 1 a 3 a . . . . . . 3 . . . . .
3 1 3 a 2 a . . . . . . 6 . . . . .
3 1 2 b 4 b . . . . . . 0 . . . . .
4 1 3 a 4 a . . . . . . 3 . . . . .
4 1 6 b 2 b . . . . . . 0 . . . . .
4 2 2 c 2 c . . . . . . 0 . . . . .
4 3 5 d 3 d . . . . . . 3 . . . . .
4 3 4 e 4 e . . . . . . 6 . . . . .
4 3 7 f 4 f . . . . . . 3 . . . . .
...
The result should be:
v1 v2 v3 v4 v5 v6 v7 v8 v9 v10 v11 v12 v13 v14 v15 v16 v17 v18
1 1 1 b 2 a . . . . . . 3 . . . . .
1 2 3 d 4 d . . . . . . 3 . . . . .
2 1 1 a 3 a . . . . . . 3 . . . . .
3 1 2 b 4 b . . . . . . 6 . . . . .
4 1 3 a 4 a . . . . . . 3 . . . . .
4 2 2 c 2 c . . . . . . 0 . . . . .
4 3 4 e 4 e . . . . . . 3 . . . . .
...
here is also an image of the table where the colored fields show what should be selected:
Hope this makes sense.
EDIT:
Got a pointer in another post to provide CREATE and INSERT for the table.
create table parent (
v1 character varying,
v2 character varying,
v3 character varying,
v4 character varying,
v5 character varying,
v6 character varying,
v7 character varying,
v8 character varying,
v9 character varying,
v10 character varying,
v11 character varying,
v12 character varying,
v13 character varying,
v14 character varying,
v15 character varying,
v16 character varying,
v17 character varying,
v18 character varying
);
insert into parent values('1','1','2','a','2','a','x1','x1','x1','x1','x1','x1','0','x1','x1','x1','x1','x1');
insert into parent values('1','1','1','b','1','b','x2','x2','x2','x2','x2','x2','3','x2','x2','x2','x2','x2');
insert into parent values('1','2','4','c','3','c','x3','x3','x3','x3','x3','x3','3','x3','x3','x3','x3','x3');
insert into parent values('1','2','3','d','4','d','x4','x4','x4','x4','x4','x4','6','x4','x4','x4','x4','x4');
insert into parent values('2','1','1','a','3','a','x1','x1','x1','x1','x1','x1','3','x1','x1','x1','x1','x1');
insert into parent values('3','1','3','a','2','a','x1','x1','x1','x1','x1','x1','6','x1','x1','x1','x1','x1');
insert into parent values('3','1','2','b','4','b','x2','x2','x2','x2','x2','x2','0','x2','x2','x2','x2','x2');
insert into parent values('4','1','3','a','4','a','x1','x1','x1','x1','x1','x1','3','x1','x1','x1','x1','x1');
insert into parent values('4','1','6','b','2','b','x2','x2','x2','x2','x2','x2','0','x2','x2','x2','x2','x2');
insert into parent values('4','2','2','c','2','c','x3','x3','x3','x3','x3','x3','0','x3','x3','x3','x3','x3');
insert into parent values('4','3','5','d','3','d','x4','x4','x4','x4','x4','x4','3','x4','x4','x4','x4','x4');
insert into parent values('4','3','4','e','4','e','x5','x5','x5','x5','x5','x5','6','x5','x5','x5','x5','x5');
insert into parent values('4','3','7','f','4','f','x6','x6','x6','x6','x6','x6','3','x6','x6','x6','x6','x6');