The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+144x^73+268x^74+232x^75+260x^76+228x^77+192x^78+166x^79+91x^80+100x^81+52x^82+46x^83+59x^84+52x^85+64x^86+26x^87+19x^88+20x^89+16x^90+10x^91+1x^92+1x^96

The gray image is a code over GF(2) with n=312, k=11 and d=146.
This code was found by Heurico 1.11 in 0.646 seconds.