The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+265x^72+511x^74+412x^76+328x^78+197x^80+133x^82+118x^84+35x^86+20x^88+16x^90+9x^92+1x^94+1x^96+1x^100

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 0.387 seconds.