The generator matrix

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

generates a code of length 62 over Z4 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+94x^56+32x^58+104x^60+64x^62+113x^64+32x^66+52x^68+10x^72+4x^76+4x^80+2x^96

The gray image is a code over GF(2) with n=124, k=9 and d=56.
This code was found by Heurico 1.16 in 0.0817 seconds.