The generator matrix

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

generates a code of length 64 over Z4 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+82x^58+55x^60+131x^62+32x^64+88x^66+28x^68+70x^70+5x^72+6x^74+3x^76+7x^78+2x^84+1x^88+1x^96

The gray image is a code over GF(2) with n=128, k=9 and d=58.
This code was found by Heurico 1.16 in 12.8 seconds.