The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+102x^69+397x^70+526x^71+918x^72+804x^73+1265x^74+1120x^75+1426x^76+1148x^77+1408x^78+1114x^79+1339x^80+1020x^81+1119x^82+654x^83+852x^84+374x^85+321x^86+212x^87+124x^88+62x^89+31x^90+18x^91+10x^92+6x^93+2x^94+4x^95+2x^96+2x^97+1x^98+2x^101

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 11.2 seconds.