The generator matrix

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

generates a code of length 59 over Z4 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+124x^56+84x^60+31x^64+12x^68+3x^72+1x^104

The gray image is a code over GF(2) with n=118, k=8 and d=56.
This code was found by Heurico 1.16 in 31.3 seconds.