The generator matrix

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

generates a code of length 71 over Z4 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+82x^58+198x^59+287x^60+374x^61+459x^62+510x^63+607x^64+714x^65+728x^66+804x^67+937x^68+930x^69+1038x^70+1026x^71+970x^72+1012x^73+917x^74+928x^75+773x^76+736x^77+614x^78+452x^79+408x^80+264x^81+206x^82+158x^83+99x^84+64x^85+48x^86+20x^87+14x^88+2x^89+3x^90+1x^110

The gray image is a code over GF(2) with n=142, k=14 and d=58.
This code was found by Heurico 1.16 in 79.3 seconds.