The generator matrix

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

generates a code of length 87 over Z4 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+36x^81+41x^82+62x^83+61x^84+38x^85+47x^86+30x^87+43x^88+24x^89+19x^90+20x^91+12x^92+18x^93+13x^94+10x^95+6x^96+8x^97+4x^98+2x^99+3x^100+4x^101+4x^102+4x^103+1x^104+1x^144

The gray image is a code over GF(2) with n=174, k=9 and d=81.
This code was found by Heurico 1.16 in 1.22 seconds.