The generator matrix

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

generates a code of length 74 over Z4 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+38x^59+157x^60+240x^61+393x^62+586x^63+708x^64+796x^65+997x^66+1180x^67+1281x^68+1506x^69+1702x^70+1754x^71+1880x^72+1992x^73+1987x^74+2072x^75+2006x^76+1988x^77+1791x^78+1548x^79+1403x^80+1118x^81+967x^82+772x^83+581x^84+476x^85+284x^86+192x^87+150x^88+70x^89+57x^90+40x^91+23x^92+6x^93+14x^94+8x^95+2x^96+2x^99

The gray image is a code over GF(2) with n=148, k=15 and d=59.
This code was found by Heurico 1.10 in 66.1 seconds.