The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+122x^72+390x^73+664x^74+752x^75+892x^76+972x^77+1363x^78+1178x^79+1522x^80+1202x^81+1267x^82+1246x^83+1202x^84+856x^85+898x^86+616x^87+409x^88+304x^89+233x^90+110x^91+94x^92+32x^93+17x^94+12x^95+12x^96+4x^97+6x^98+4x^99+2x^100+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 1.11 in 5.41 seconds.