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  1  2  1  1  1  1  1  1  1  1  2  1  1  1  0  1  1  2  1  1  2
 0  2  0  0  0  0  0  0  0  2  2  2  0  2  0  0  2  0  2  2  0  0  0  0  0  2  0  2  0  0  2  0  2  2  2  2  0  0  2  2  0  2  0  2  2  0  0  0  2  2  0  2  2  2  2  2  0  0  2
 0  0  2  0  0  0  0  0  2  2  2  2  0  0  0  2  0  2  2  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  2  0  0  2  0  0  0  2  2  2  0  0  0  0  2  0  2  2  0  0  2  0  2  2  0
 0  0  0  2  0  0  0  0  2  0  0  2  0  2  0  0  0  0  0  0  2  2  2  2  2  0  2  0  2  2  2  2  0  2  0  2  2  0  2  0  2  0  2  2  2  0  0  2  2  0  0  0  0  2  0  0  2  2  2
 0  0  0  0  2  0  0  0  2  0  2  2  2  0  0  2  2  0  0  2  2  2  2  2  0  0  0  2  0  0  0  0  2  0  2  2  2  0  2  2  0  0  2  0  2  0  2  2  2  0  2  2  2  0  0  0  2  2  2
 0  0  0  0  0  2  0  0  2  0  2  0  0  2  2  2  0  0  2  2  0  0  0  2  2  2  2  0  2  0  2  2  2  2  2  2  2  2  2  0  2  2  0  2  0  2  0  0  0  2  0  0  0  2  0  2  0  2  0
 0  0  0  0  0  0  2  0  2  2  0  0  0  2  2  0  2  2  2  0  0  0  2  2  0  0  0  0  2  2  0  0  0  2  2  2  0  2  0  0  2  2  0  2  2  2  2  2  2  2  0  2  0  0  2  0  2  0  0
 0  0  0  0  0  0  0  2  2  2  0  2  2  0  2  0  0  0  2  2  0  2  2  0  0  0  0  0  2  0  2  2  2  2  0  2  0  0  0  2  2  0  0  2  0  0  2  0  2  0  2  0  2  0  0  2  0  2  2

generates a code of length 59 over Z4 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+64x^52+103x^56+96x^58+139x^60+32x^62+29x^64+34x^68+11x^72+2x^76+1x^108

The gray image is a code over GF(2) with n=118, k=9 and d=52.
This code was found by Heurico 1.16 in 0.109 seconds.