The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+382x^72+714x^74+836x^76+738x^78+464x^80+386x^82+306x^84+142x^86+68x^88+36x^90+18x^92+5x^96

The gray image is a code over GF(2) with n=312, k=12 and d=144.
This code was found by Heurico 1.16 in 3.2 seconds.