The generator matrix

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

generates a code of length 65 over Z4 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+105x^58+162x^60+163x^62+151x^64+116x^66+104x^68+74x^70+64x^72+29x^74+18x^76+19x^78+8x^80+6x^82+4x^84

The gray image is a code over GF(2) with n=130, k=10 and d=58.
This code was found by Heurico 1.16 in 0.218 seconds.