The generator matrix

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

generates a code of length 79 over Z8 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+110x^68+506x^69+933x^70+1478x^71+1940x^72+2528x^73+3340x^74+3990x^75+4766x^76+4918x^77+5418x^78+5564x^79+5320x^80+5354x^81+4803x^82+4198x^83+3225x^84+2554x^85+1736x^86+1092x^87+799x^88+434x^89+255x^90+116x^91+95x^92+20x^93+19x^94+10x^95+4x^97+6x^98+2x^101+2x^102

The gray image is a code over GF(2) with n=316, k=16 and d=136.
This code was found by Heurico 1.11 in 70.8 seconds.