The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^58+158x^59+243x^60+380x^61+457x^62+576x^63+698x^64+742x^65+758x^66+842x^67+850x^68+918x^69+944x^70+936x^71+991x^72+974x^73+977x^74+866x^75+814x^76+770x^77+623x^78+500x^79+400x^80+312x^81+221x^82+142x^83+89x^84+60x^85+27x^86+12x^87+10x^88+4x^89+1x^126

The gray image is a code over GF(2) with n=142, k=14 and d=58.
This code was found by Heurico 1.10 in 15.6 seconds.