The generator matrix

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

generates a code of length 75 over Z4 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+80x^60+144x^61+306x^62+404x^63+579x^64+642x^65+885x^66+1046x^67+1188x^68+1348x^69+1505x^70+1630x^71+1740x^72+1814x^73+1898x^74+2110x^75+1859x^76+1998x^77+1793x^78+1774x^79+1623x^80+1396x^81+1206x^82+996x^83+822x^84+596x^85+481x^86+282x^87+236x^88+114x^89+107x^90+70x^91+57x^92+10x^93+3x^94+6x^95+5x^96+2x^97+6x^98+2x^99+2x^100+1x^106+1x^114

The gray image is a code over GF(2) with n=150, k=15 and d=60.
This code was found by Heurico 1.10 in 126 seconds.