The generator matrix

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

generates a code of length 79 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+148x^72+8x^73+182x^74+40x^75+209x^76+120x^77+288x^78+176x^79+258x^80+120x^81+160x^82+40x^83+121x^84+8x^85+66x^86+54x^88+30x^90+6x^92+10x^94+2x^96+1x^136

The gray image is a code over GF(2) with n=316, k=11 and d=144.
This code was found by Heurico 1.16 in 20.2 seconds.