The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+12x^56+50x^57+83x^58+68x^59+27x^60+46x^61+60x^62+22x^63+6x^64+14x^65+20x^66+18x^67+8x^68+18x^69+27x^70+10x^71+4x^72+1x^74+10x^75+5x^76+1x^80+1x^86

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 0.0711 seconds.