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

generates a code of length 39 over Z4 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+35x^36+24x^38+38x^40+24x^42+5x^44+1x^72

The gray image is a code over GF(2) with n=78, k=7 and d=36.
This code was found by Heurico 1.16 in 0.00797 seconds.