The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+113x^72+374x^73+553x^74+846x^75+908x^76+1154x^77+1147x^78+1472x^79+1175x^80+1434x^81+1244x^82+1210x^83+1107x^84+950x^85+699x^86+672x^87+435x^88+364x^89+177x^90+156x^91+89x^92+56x^93+20x^94+12x^95+10x^96+4x^97+2x^100

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.