The generator matrix

 1  0  0  0  1  1  1  1  1  2  2  0  0  1  1  1  2  1  2  2  1  1  1  0  0  1  1  1  0  2  0  1  1  1  2  1  1  2  0  1  1  1  1  0  0  2  1  1  1  1  0  1  1  2  1  1  2  1  0  1  2  2  2  1
 0  1  0  0  0  1  1  2  0  0  1  1  1  2  3  3  1  0  1  2  3  3  2  2  0  3  0  1  1  1  1  2  3  2  2  0  3  0  2  0  3  0  0  1  1  0  1  3  3  1  1  2  3  1  3  0  1  1  0  2  1  1  0  2
 0  0  1  0  1  1  0  0  3  1  2  3  3  0  2  1  0  3  1  2  1  3  2  1  1  2  3  2  1  2  2  3  3  2  1  0  3  1  2  3  0  2  2  0  0  0  2  1  2  2  3  2  1  0  3  0  2  3  0  3  0  1  2  1
 0  0  0  1  1  0  1  1  0  3  3  1  2  1  0  3  3  3  2  1  2  3  2  0  1  0  2  3  3  2  3  1  2  1  1  0  3  3  1  0  1  1  3  2  1  1  2  0  0  1  0  0  2  1  3  2  3  1  1  3  2  1  1  1
 0  0  0  0  2  0  0  0  2  2  0  2  0  2  2  0  2  0  2  2  2  0  0  0  2  0  2  0  2  2  0  2  0  2  2  2  0  0  2  2  2  0  2  0  0  0  2  0  0  2  0  0  2  2  2  0  0  0  0  2  0  0  0  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  2  0  2  0  0  2  2  2  0  2  0  2  0  2  0  2  2  2  2  0  0  0  2  0  2  0  2  2  0  0  2  2  0  2  0
 0  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  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  0  2  0  2  2  0  2  2  2  2  0  0  2  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+148x^56+257x^58+329x^60+266x^62+260x^64+194x^66+174x^68+152x^70+118x^72+77x^74+49x^76+14x^78+9x^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 0.604 seconds.