The generator matrix

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

generates a code of length 78 over Z8 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+76x^69+358x^70+512x^71+886x^72+944x^73+1248x^74+1120x^75+1257x^76+1244x^77+1338x^78+1296x^79+1384x^80+1052x^81+1082x^82+808x^83+616x^84+384x^85+308x^86+160x^87+148x^88+68x^89+46x^90+8x^91+23x^92+8x^93+4x^94+5x^96

The gray image is a code over GF(2) with n=312, k=14 and d=138.
This code was found by Heurico 1.16 in 11.1 seconds.