The generator matrix

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

generates a code of length 90 over Z4 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+61x^74+130x^75+244x^76+412x^77+554x^78+632x^79+797x^80+920x^81+1105x^82+1202x^83+1306x^84+1352x^85+1485x^86+1650x^87+1617x^88+1856x^89+1796x^90+1820x^91+1824x^92+1690x^93+1615x^94+1626x^95+1405x^96+1138x^97+1075x^98+870x^99+722x^100+548x^101+409x^102+322x^103+223x^104+132x^105+75x^106+58x^107+46x^108+14x^109+17x^110+10x^111+5x^112+2x^113+1x^116+1x^148

The gray image is a code over GF(2) with n=180, k=15 and d=74.
This code was found by Heurico 1.10 in 165 seconds.