The generator matrix

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

generates a code of length 39 over Z4 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+36x^38+12x^40+12x^42+3x^48

The gray image is a code over GF(2) with n=78, k=6 and d=38.
This code was found by Heurico 1.16 in 0.029 seconds.