The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+99x^34+93x^36+69x^38+84x^40+76x^42+72x^44+3x^48+9x^50+3x^52+3x^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 25.4 seconds.