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

generates a code of length 71 over Z4 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+32x^59+110x^60+190x^61+277x^62+322x^63+346x^64+430x^65+416x^66+404x^67+442x^68+482x^69+474x^70+422x^71+470x^72+524x^73+483x^74+408x^75+412x^76+350x^77+247x^78+238x^79+221x^80+162x^81+132x^82+84x^83+42x^84+34x^85+18x^86+10x^87+2x^88+4x^89+1x^90+2x^100

The gray image is a code over GF(2) with n=142, k=13 and d=59.
This code was found by Heurico 1.10 in 4.11 seconds.