The generator matrix

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

generates a code of length 72 over Z4 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+58x^58+403x^60+748x^62+1098x^64+1340x^66+1630x^68+1844x^70+2051x^72+1994x^74+1663x^76+1420x^78+987x^80+614x^82+311x^84+154x^86+47x^88+18x^90+2x^94+1x^100

The gray image is a code over GF(2) with n=144, k=14 and d=58.
This code was found by Heurico 1.10 in 15.6 seconds.