The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  1  1  1  1  2  1  1  1
 0  2  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  2  0  0  0  2  2
 0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  0  0  0  0  0  2  2  2  2  2  0  0  0  0  0  2  2  2  2  2  2  2  0
 0  0  0  2  0  0  0  0  2  0  0  2  0  2  2  2  0  0  2  2  2  2  2  2  2  2  2  2  0  0  2  0  0  0  0  0  2  0
 0  0  0  0  2  0  0  0  2  0  2  2  0  2  0  2  2  2  0  0  0  0  0  0  2  2  0  2  0  2  2  2  2  2  2  2  0  0
 0  0  0  0  0  2  0  0  2  0  2  0  2  0  2  2  2  0  2  0  0  0  0  2  0  2  0  2  2  2  0  2  0  2  0  0  0  2
 0  0  0  0  0  0  2  0  2  2  0  0  2  2  0  2  0  2  2  0  0  0  2  2  2  2  0  2  2  0  0  2  2  0  2  0  2  0
 0  0  0  0  0  0  0  2  2  2  0  2  2  0  0  2  2  0  0  2  0  2  2  0  2  2  2  0  0  2  0  2  2  0  0  2  2  0

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

Homogenous weight enumerator: w(x)=1x^0+81x^32+16x^34+117x^36+96x^38+120x^40+16x^42+40x^44+22x^48+2x^52+1x^68

The gray image is a code over GF(2) with n=76, k=9 and d=32.
This code was found by Heurico 1.16 in 0.102 seconds.