The generator matrix

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

generates a code of length 80 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+50x^72+116x^73+217x^74+306x^75+282x^76+300x^77+354x^78+332x^79+363x^80+338x^81+272x^82+322x^83+239x^84+162x^85+157x^86+108x^87+68x^88+32x^89+12x^90+16x^91+12x^92+6x^93+6x^94+4x^95+6x^96+6x^97+2x^98+3x^100+3x^102+1x^106

The gray image is a code over GF(2) with n=320, k=12 and d=144.
This code was found by Heurico 1.16 in 1.1 seconds.