The generator matrix

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

generates a code of length 65 over Z4 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+265x^56+384x^58+494x^60+492x^62+553x^64+448x^66+418x^68+336x^70+313x^72+208x^74+118x^76+52x^78+12x^80+2x^84

The gray image is a code over GF(2) with n=130, k=12 and d=56.
This code was found by Heurico 1.10 in 392 seconds.