The generator matrix

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

generates a code of length 78 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+268x^72+212x^73+602x^74+168x^75+574x^76+226x^77+472x^78+120x^79+462x^80+134x^81+294x^82+52x^83+166x^84+46x^85+140x^86+32x^87+56x^88+22x^89+28x^90+12x^91+8x^92+1x^96

The gray image is a code over GF(2) with n=312, k=12 and d=144.
This code was found by Heurico 1.11 in 0.627 seconds.