The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+245x^56+430x^58+492x^60+488x^62+485x^64+472x^66+410x^68+410x^70+291x^72+192x^74+106x^76+54x^78+18x^80+2x^82

The gray image is a code over GF(2) with n=130, k=12 and d=56.
This code was found by Heurico 1.16 in 93.6 seconds.