The generator matrix

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

generates a code of length 77 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+136x^72+258x^73+285x^74+214x^75+274x^76+132x^77+133x^78+96x^79+135x^80+88x^81+72x^82+36x^83+59x^84+36x^85+33x^86+20x^87+18x^88+12x^89+5x^90+2x^91+1x^92+2x^97

The gray image is a code over GF(2) with n=308, k=11 and d=144.
This code was found by Heurico 1.16 in 0.332 seconds.