The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+29x^72+198x^73+410x^74+518x^75+832x^76+738x^77+1171x^78+968x^79+1549x^80+1208x^81+1484x^82+1168x^83+1442x^84+992x^85+1042x^86+742x^87+717x^88+370x^89+311x^90+158x^91+146x^92+56x^93+50x^94+30x^95+10x^96+20x^97+11x^98+8x^100+2x^101+1x^102+2x^104

The gray image is a code over GF(2) with n=328, k=14 and d=144.
This code was found by Heurico 1.16 in 13.3 seconds.