The generator matrix

1 0 0 0 0 0 0 1 1 1 2 1 1 0 1 1 0 0 0 1 1 1 1 2 2 1 1 1 1 0 2 1 1 1 1 2 1 0 0 1 2 2 1 1 2 0 2 1 1 1 0 1 1 1 0 0 2 0 2 0 2 1 1 1 1 1 1 2 1 1 2 2 1 2 1 1 1 2 2 1 2 1 2 1 0 1 1 1
0 1 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 1 1 1 1 2 0 0 1 0 2 1 3 0 1 1 3 2 1 2 3 1 1 1 0 2 1 2 1 0 1 3 2 2 1 0 1 3 1 2 2 2 1 2 1 0 2 1 0 0 2 0 1 1 1 2 2 2 1 2 2 0 1 0 1 3 1 3 1 2 1 1
0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 2 2 3 1 1 3 2 3 1 1 2 1 3 0 2 2 2 1 1 0 1 2 0 3 1 1 1 1 0 0 0 3 3 1 2 3 2 0 3 2 2 2 2 2 1 0 0 0 1 3 2 1 2 0 1 2 2 2 2 3 3 3 1 0 1 2 0 3 3 2 1 2 1
0 0 0 1 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 1 3 3 1 1 3 3 3 1 1 3 3 1 3 2 2 3 2 0 0 1 3 3 2 1 3 2 0 2 1 1 0 3 0 1 0 1 1 1 1 2 2 3 3 0 0 1 3 2 1 2 3 1 1 2 0 1 2 3 3 3 0 1 2 3 1 0
0 0 0 0 1 0 0 1 2 3 1 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 2 2 2 2 2 2 1 3 1 3 3 1 3 1 1 1 3 2 1 2 3 1 1 2 0 3 0 1 2 1 1 3 3 0 0 1 0 1 2 2 3 1 1 2 3 2 0 0 1 3 2 2 3 3 2 0 3 2 3 0 2 1
0 0 0 0 0 1 0 1 3 2 3 0 1 1 1 2 1 2 3 0 1 0 0 1 2 3 3 2 0 3 1 3 1 2 3 0 3 2 0 0 3 3 0 0 3 0 2 1 1 1 1 0 1 1 0 2 3 1 1 2 0 0 3 1 0 2 0 1 1 2 0 1 0 2 0 0 0 2 2 2 0 3 1 3 2 3 1 3
0 0 0 0 0 0 1 2 1 3 3 1 0 1 0 1 3 1 2 0 3 3 2 0 2 2 1 1 2 1 2 3 1 3 2 1 3 0 0 3 0 1 0 3 2 2 1 0 3 1 3 0 2 3 0 2 3 2 1 0 1 3 2 2 3 0 2 1 1 1 3 0 0 3 3 3 0 0 2 2 3 2 2 0 3 3 2 0

generates a code of length 88 over Z4 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+132x^74+544x^76+814x^78+1261x^80+1304x^82+1606x^84+1688x^86+1768x^88+1708x^90+1649x^92+1338x^94+1064x^96+732x^98+428x^100+192x^102+113x^104+28x^106+13x^108+1x^136

The gray image is a code over GF(2) with n=176, k=14 and d=74.
This code was found by Heurico 1.10 in 20.3 seconds.