The generator matrix

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

generates a code of length 81 over Z8 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+128x^71+480x^72+822x^73+1156x^74+1362x^75+1863x^76+1996x^77+2226x^78+2336x^79+2620x^80+2590x^81+2907x^82+2532x^83+2398x^84+1912x^85+1692x^86+1268x^87+965x^88+598x^89+375x^90+216x^91+181x^92+92x^93+28x^94+8x^95+4x^96+6x^97+6x^99

The gray image is a code over GF(2) with n=324, k=15 and d=142.
This code was found by Heurico 1.11 in 19 seconds.