The generator matrix

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

generates a code of length 86 over Z4 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+29x^74+56x^75+121x^76+128x^77+194x^78+180x^79+188x^80+224x^81+216x^82+250x^83+243x^84+240x^85+182x^86+228x^87+226x^88+186x^89+184x^90+190x^91+134x^92+144x^93+130x^94+100x^95+56x^96+84x^97+60x^98+14x^99+43x^100+16x^101+18x^102+4x^103+8x^104+2x^105+7x^106+2x^107+3x^108+4x^110+1x^112

The gray image is a code over GF(2) with n=172, k=12 and d=74.
This code was found by Heurico 1.16 in 3.89 seconds.