The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+123x^56+64x^58+125x^60+40x^62+80x^64+16x^66+28x^68+8x^70+15x^72+7x^76+5x^80

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 35.4 seconds.