The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+128x^56+274x^58+335x^60+290x^62+231x^64+218x^66+148x^68+138x^70+126x^72+92x^74+45x^76+12x^78+10x^80

The gray image is a code over GF(2) with n=128, k=11 and d=56.
This code was found by Heurico 1.16 in 0.561 seconds.