The generator matrix

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

generates a code of length 61 over Z4 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+171x^56+130x^60+148x^64+38x^68+18x^72+4x^80+1x^88+1x^96

The gray image is a code over GF(2) with n=122, k=9 and d=56.
This code was found by Heurico 1.16 in 64.6 seconds.