The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+172x^69+372x^70+510x^71+750x^72+860x^73+1149x^74+1250x^75+1221x^76+1362x^77+1392x^78+1308x^79+1246x^80+1248x^81+974x^82+810x^83+558x^84+448x^85+340x^86+140x^87+110x^88+52x^89+53x^90+12x^91+13x^92+18x^93+8x^94+2x^95+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 13.6 seconds.