The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+84x^56+187x^58+156x^60+154x^62+118x^64+107x^66+80x^68+38x^70+45x^72+22x^74+23x^76+3x^78+4x^80+1x^84+1x^86

The gray image is a code over GF(2) with n=126, k=10 and d=56.
This code was found by Heurico 1.16 in 0.206 seconds.