The generator matrix

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

generates a code of length 78 over Z8 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+102x^73+125x^74+86x^75+97x^76+82x^77+114x^78+80x^79+60x^80+70x^81+71x^82+54x^83+27x^84+32x^85+9x^86+4x^87+5x^88+2x^93+1x^94+1x^96+1x^128

The gray image is a code over GF(2) with n=312, k=10 and d=146.
This code was found by Heurico 1.16 in 22.4 seconds.