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  2  2  2  2  2  2  2  0  0  0  0  0  2  2  0  2  2  0  0  2  2  2  2  0  0  0  0  2  2
 0  0  2  0  0  0  2  2  2  2  2  0  2  2  0  0  0  0  0  0  2  2  0  2  2  0  2  2  2  2  0  0  0  0  0  2  2  0
 0  0  0  2  0  2  2  2  0  0  0  0  2  2  2  2  0  0  2  2  2  0  2  2  2  0  0  0  0  2  2  0  0  0  2  2  0  0
 0  0  0  0  2  2  0  2  2  0  2  2  2  0  0  2  0  2  2  0  0  0  0  2  2  0  2  0  2  0  2  2  0  2  2  0  0  0

generates a code of length 38 over Z4 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+15x^36+32x^38+15x^40+1x^76

The gray image is a code over GF(2) with n=76, k=6 and d=36.
This code was found by Heurico 1.16 in 0.00622 seconds.