The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+250x^72+282x^74+364x^76+314x^78+324x^80+286x^82+181x^84+14x^86+20x^88+5x^92+3x^96+2x^104+1x^108+1x^116

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 2.37 seconds.