The generator matrix

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

generates a code of length 89 over Z4 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+88x^75+167x^76+246x^77+328x^78+464x^79+563x^80+612x^81+639x^82+646x^83+740x^84+798x^85+850x^86+858x^87+870x^88+868x^89+816x^90+804x^91+827x^92+742x^93+704x^94+732x^95+693x^96+566x^97+433x^98+380x^99+296x^100+204x^101+180x^102+112x^103+64x^104+58x^105+16x^106+10x^107+2x^108+2x^109+2x^110+2x^111+1x^144

The gray image is a code over GF(2) with n=178, k=14 and d=75.
This code was found by Heurico 1.10 in 20.6 seconds.