The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+45x^58+92x^59+82x^60+88x^61+86x^62+92x^63+88x^64+62x^65+66x^66+54x^67+32x^68+32x^69+26x^70+30x^71+34x^72+18x^73+21x^74+16x^75+14x^76+20x^77+8x^78+2x^79+5x^80+4x^81+2x^82+2x^83+2x^90

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 0.17 seconds.