The generator matrix

 1  0  1  1  1  6  1  1  0  6  1  1  1  1  4  1  0  1  1  1  2  1  6  1  1  4  1  4  1  1  2  1  1  1  1  4  1  1  6  1  1  1  4  4  6  4  1  1  1  1  1  0  1  1  1  1  1  2  1  1  6  1  4  1  1  2  1  1  0  1  1  1  1  1  1  1  1  1
 0  1  1  0  1  1  2  7  1  1  7  6  1  4  1  2  1  5  2  1  1  7  1  3  0  1  6  1  5  2  1  3  0  4  3  1  4  5  1  4  7  5  1  1  1  1  5  2  6  0  5  1  4  5  2  5  5  1  5  2  1  0  1  6  3  1  1  7  1  6  7  2  6  7  6  6  2  4
 0  0  2  0  0  0  0  0  0  4  0  0  4  0  4  4  0  4  0  4  4  4  4  0  0  6  6  2  6  2  6  2  6  2  2  2  6  2  6  6  6  2  0  6  0  6  2  4  6  4  0  2  0  4  0  2  0  4  6  2  2  6  4  2  0  2  2  0  4  6  2  2  6  4  0  4  0  6
 0  0  0  2  0  0  2  4  2  6  2  4  6  0  2  0  0  4  2  2  6  6  0  0  2  4  0  6  2  6  0  2  2  4  6  2  2  2  0  0  4  0  2  4  2  6  2  4  6  2  4  4  0  0  4  0  6  2  4  6  6  6  4  4  0  4  0  4  2  4  2  4  6  2  6  2  6  2
 0  0  0  0  2  0  0  2  2  6  4  4  4  6  4  6  2  4  6  6  0  6  2  4  6  0  6  6  0  2  0  6  0  2  4  0  6  2  2  4  6  0  6  2  4  4  2  0  0  0  0  6  0  6  6  2  4  0  4  6  4  6  0  2  2  0  6  0  6  4  2  6  0  6  4  2  0  6
 0  0  0  0  0  4  4  4  4  0  0  4  4  0  0  4  4  4  4  0  4  4  0  0  0  4  4  4  4  0  0  0  0  0  0  0  4  4  0  4  0  4  0  4  0  4  0  0  4  4  4  0  4  0  0  4  0  4  4  4  4  0  4  0  0  4  0  0  0  0  0  0  0  0  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+66x^69+138x^70+292x^71+281x^72+518x^73+439x^74+800x^75+453x^76+946x^77+579x^78+914x^79+396x^80+748x^81+388x^82+474x^83+223x^84+240x^85+81x^86+54x^87+35x^88+28x^89+30x^90+22x^91+8x^92+12x^93+5x^94+4x^95+10x^96+2x^97+3x^98+1x^104+1x^110

The gray image is a code over GF(2) with n=312, k=13 and d=138.
This code was found by Heurico 1.16 in 3.8 seconds.