The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+132x^72+480x^73+790x^74+1210x^75+1332x^76+1832x^77+2068x^78+2346x^79+2382x^80+2548x^81+2571x^82+2812x^83+2463x^84+2300x^85+1898x^86+1754x^87+1278x^88+1000x^89+633x^90+430x^91+233x^92+132x^93+66x^94+40x^95+17x^96+4x^97+4x^98+2x^100+8x^101+2x^102

The gray image is a code over GF(2) with n=328, k=15 and d=144.
This code was found by Heurico 1.16 in 43.3 seconds.