The generator matrix

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

generates a code of length 39 over Z4 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+75x^34+124x^36+93x^38+76x^40+50x^42+42x^44+26x^46+11x^48+11x^50+2x^52+1x^54

The gray image is a code over GF(2) with n=78, k=9 and d=34.
This code was found by Heurico 1.16 in 0.0276 seconds.