The generator matrix

 1  0  0  0  1  1  1  2  6  1  1  2  1  1  0  2  1  6  1  1  6  1  1  6  1  1  0  2  6  1  6  1  1  1  1  2  1  4  1  1  0  6  1  1  1  1  6  1  1  1  2  4  0  2  2  4  6  2  1  2  1  4  4  0  6  1  1  6  1  0  1  1  1  1  4  1  2  1  1  4  1
 0  1  0  0  2  0  2  2  1  7  7  1  5  1  1  4  6  1  5  5  4  3  6  2  6  6  1  1  1  3  1  1  4  0  7  1  1  2  7  2  1  1  5  7  4  2  1  0  1  1  2  4  0  1  4  1  2  1  4  1  3  1  6  1  0  4  5  1  6  1  7  1  2  5  0  6  1  0  7  2  4
 0  0  1  0  2  1  3  1  5  7  2  0  5  6  3  1  0  6  1  4  1  4  1  0  6  7  1  6  3  1  5  2  7  7  5  7  7  1  0  7  4  6  1  2  4  4  4  3  2  4  4  1  1  0  0  2  1  5  6  7  2  2  1  3  1  0  1  4  1  5  0  7  1  2  1  0  7  6  5  4  0
 0  0  0  1  3  1  2  3  0  1  1  7  6  6  7  2  7  2  5  6  3  7  1  1  0  4  7  1  0  2  7  4  5  7  7  6  1  0  7  1  7  4  6  3  0  7  1  4  0  3  1  5  4  0  1  2  4  2  3  3  4  0  5  0  1  1  6  5  3  4  2  7  6  4  7  1  0  0  2  1  4
 0  0  0  0  4  0  4  4  4  4  0  4  0  4  0  0  4  0  4  4  4  0  0  0  4  0  4  0  4  4  0  0  4  4  0  0  0  4  4  4  4  4  0  4  4  0  0  0  0  0  4  4  4  0  0  4  0  0  0  4  0  4  0  4  4  0  4  4  4  0  0  0  4  4  4  4  0  4  0  0  4
 0  0  0  0  0  4  4  4  4  4  0  0  4  0  4  4  4  4  0  4  0  4  0  4  4  4  0  0  0  4  0  0  4  0  4  0  0  0  0  0  4  4  0  4  0  0  0  0  4  4  4  0  4  4  0  0  0  0  0  4  4  0  4  0  4  4  4  4  4  0  0  4  0  4  4  0  0  0  4  4  0

generates a code of length 81 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+123x^72+402x^73+544x^74+864x^75+820x^76+1282x^77+1040x^78+1482x^79+1119x^80+1384x^81+1180x^82+1418x^83+1004x^84+1140x^85+580x^86+714x^87+442x^88+352x^89+216x^90+118x^91+63x^92+38x^93+22x^94+6x^95+11x^96+10x^97+4x^99+1x^100+2x^102+2x^103

The gray image is a code over GF(2) with n=324, k=14 and d=144.
This code was found by Heurico 1.16 in 11.7 seconds.