The generator matrix

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

generates a code of length 38 over Z4 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+74x^32+238x^34+177x^36+164x^38+102x^40+112x^42+78x^44+60x^46+15x^48+2x^50+1x^52

The gray image is a code over GF(2) with n=76, k=10 and d=32.
This code was found by Heurico 1.10 in 0.031 seconds.