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  6  2  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  0  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  2  1  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  1  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  1  4  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  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  2  1  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  5  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  5  2  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  2  5

generates a code of length 82 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+110x^72+550x^73+838x^74+1154x^75+1338x^76+1748x^77+2064x^78+2290x^79+2316x^80+2632x^81+2597x^82+2860x^83+2534x^84+2386x^85+1857x^86+1688x^87+1259x^88+976x^89+594x^90+412x^91+232x^92+170x^93+105x^94+26x^95+16x^96+2x^97+5x^98+2x^99+2x^100+4x^102

The gray image is a code over GF(2) with n=328, k=15 and d=144.
This code was found by Heurico 1.11 in 19.4 seconds.