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  1  1  1  1  1  2  1  1  1  1  1
 0  2  0  0  0  0  0  2  0  0  0  0  2  2  0  2  0  2  2  0  0  2  2  0  0  2  2  2  2  0  0  0  2  0  0  2  0  2
 0  0  2  0  0  0  0  2  0  0  2  2  2  2  2  2  0  0  0  0  0  0  0  2  2  2  0  2  0  0  0  2  2  0  0  0  2  2
 0  0  0  2  0  0  0  2  0  2  2  0  0  0  2  2  0  2  2  0  2  2  0  2  0  0  2  2  0  0  2  2  2  2  2  2  2  2
 0  0  0  0  2  0  0  2  0  2  0  2  0  2  0  2  2  0  2  2  2  0  0  2  2  0  0  0  0  2  0  0  2  2  0  2  0  0
 0  0  0  0  0  2  0  2  2  0  0  2  0  2  2  0  0  2  2  2  0  0  2  2  0  2  0  0  2  2  2  0  2  2  2  0  2  2
 0  0  0  0  0  0  2  2  2  0  2  0  0  2  0  2  2  2  0  0  2  0  2  2  0  2  2  0  0  2  0  0  0  2  2  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+14x^32+23x^34+19x^36+64x^37+19x^38+64x^39+21x^40+12x^42+9x^44+9x^46+1x^74

The gray image is a code over GF(2) with n=76, k=8 and d=32.
This code was found by Heurico 1.16 in 0.0139 seconds.