The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+151x^72+102x^73+269x^74+66x^75+243x^76+128x^77+249x^78+64x^79+233x^80+82x^81+230x^82+26x^83+128x^84+26x^85+10x^86+4x^87+3x^88+10x^89+9x^90+8x^92+2x^93+2x^97+1x^108+1x^110

The gray image is a code over GF(2) with n=312, k=11 and d=144.
This code was found by Heurico 1.16 in 0.414 seconds.