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

generates a code of length 38 over Z4 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+6x^34+15x^36+84x^38+15x^40+6x^42+1x^76

The gray image is a code over GF(2) with n=76, k=7 and d=34.
This code was found by Heurico 1.16 in 0.0121 seconds.