The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+101x^32+185x^34+201x^36+167x^38+106x^40+108x^42+84x^44+48x^46+16x^48+3x^50+3x^52+1x^54

The gray image is a code over GF(2) with n=76, k=10 and d=32.
This code was found by Heurico 1.16 in 0.0793 seconds.