The generator matrix

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

generates a code of length 63 over Z4 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+29x^56+92x^57+105x^58+98x^59+83x^60+76x^61+74x^62+62x^63+62x^64+52x^65+41x^66+42x^67+50x^68+24x^69+18x^70+22x^71+18x^72+26x^73+16x^74+12x^75+9x^76+2x^78+4x^79+4x^80+2x^81

The gray image is a code over GF(2) with n=126, k=10 and d=56.
This code was found by Heurico 1.10 in 0.047 seconds.