The generator matrix

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

generates a code of length 72 over Z4 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+78x^59+177x^60+314x^61+386x^62+404x^63+530x^64+656x^65+735x^66+786x^67+815x^68+904x^69+949x^70+948x^71+1003x^72+946x^73+949x^74+986x^75+920x^76+826x^77+713x^78+564x^79+459x^80+406x^81+294x^82+202x^83+170x^84+98x^85+68x^86+60x^87+18x^88+8x^89+2x^90+4x^91+2x^92+2x^93+1x^112

The gray image is a code over GF(2) with n=144, k=14 and d=59.
This code was found by Heurico 1.10 in 15.9 seconds.