The generator matrix

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

generates a code of length 87 over Z4 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+102x^75+174x^76+258x^77+325x^78+318x^79+388x^80+398x^81+361x^82+386x^83+433x^84+408x^85+394x^86+420x^87+443x^88+448x^89+426x^90+372x^91+354x^92+312x^93+299x^94+308x^95+217x^96+168x^97+131x^98+104x^99+85x^100+50x^101+38x^102+34x^103+15x^104+2x^105+10x^106+4x^107+2x^108+4x^109

The gray image is a code over GF(2) with n=174, k=13 and d=75.
This code was found by an older version of Heurico in 0 seconds.