The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+16x^58+64x^59+106x^60+214x^61+228x^62+272x^63+375x^64+408x^65+441x^66+416x^67+470x^68+482x^69+475x^70+436x^71+468x^72+460x^73+411x^74+434x^75+366x^76+370x^77+337x^78+250x^79+195x^80+148x^81+116x^82+106x^83+61x^84+30x^85+18x^86+2x^87+5x^88+4x^90+4x^91+1x^92+2x^94

The gray image is a code over GF(2) with n=142, k=13 and d=58.
This code was found by Heurico 1.10 in 4.03 seconds.