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

generates a code of length 64 over Z4 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+80x^56+128x^58+146x^60+128x^62+92x^64+128x^66+113x^68+128x^70+54x^72+12x^76+9x^80+1x^84+4x^88

The gray image is a code over GF(2) with n=128, k=10 and d=56.
This code was found by Heurico 1.16 in 0.212 seconds.