The generator matrix

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

generates a code of length 76 over Z4 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+44x^59+104x^60+224x^61+414x^62+608x^63+848x^64+984x^65+1279x^66+1614x^67+1943x^68+2216x^69+2555x^70+2926x^71+3276x^72+3552x^73+3742x^74+4052x^75+4185x^76+4070x^77+3997x^78+3792x^79+3379x^80+3260x^81+2648x^82+2250x^83+1926x^84+1492x^85+1245x^86+862x^87+658x^88+488x^89+303x^90+196x^91+157x^92+78x^93+69x^94+36x^95+30x^96+20x^97+3x^98+4x^99+5x^100+1x^106

The gray image is a code over GF(2) with n=152, k=16 and d=59.
This code was found by Heurico 1.10 in 563 seconds.