The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+166x^56+92x^58+182x^60+44x^62+186x^64+84x^66+165x^68+36x^70+52x^72+4x^76+7x^80+1x^84+4x^88

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 2.39 seconds.