The generator matrix

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

generates a code of length 69 over Z4 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+208x^58+551x^60+691x^62+787x^64+925x^66+993x^68+992x^70+870x^72+788x^74+637x^76+394x^78+214x^80+95x^82+42x^84+2x^86+1x^94+1x^100

The gray image is a code over GF(2) with n=138, k=13 and d=58.
This code was found by Heurico 1.16 in 11.1 seconds.