The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  1  2  1  1  1  1  1  4  1  1  1  2  1  1  1  0  1  1  0  2  4  1  2  2  1  2  2  0  1  1  1  0  0  1  1  4  1  1
 0  2  0  0  0  0  0  0  0  2  6  2  2  6  2  6  4  4  2  0  6  4  6  6  0  4  6  6  0  2  2  0  6  4  2  4  6  4  2  0  0  4  2  2  2  6  4  2  6  2  4  2  0  2  6  2  4  6  2  0  2  6  4  2  6  6  4  2  2  4  6  4  0  4  6  4  6  0
 0  0  2  0  0  4  6  2  2  2  2  0  2  6  0  4  6  2  4  6  4  0  6  4  0  2  2  2  0  4  6  0  0  6  6  4  6  2  4  2  2  6  2  0  6  6  6  0  6  2  2  6  4  0  2  4  0  2  2  2  4  0  2  6  6  4  4  6  2  0  0  4  0  6  4  4  2  4
 0  0  0  2  0  6  6  6  4  0  0  0  2  6  2  2  2  6  2  4  4  0  6  0  4  4  6  0  6  6  4  6  0  6  4  0  2  4  4  0  2  0  6  2  0  0  0  2  4  6  2  0  4  4  6  2  2  6  0  2  2  4  4  6  2  6  6  4  6  6  6  2  0  4  0  2  4  0
 0  0  0  0  2  2  4  6  2  0  2  2  2  0  0  6  2  4  6  6  2  6  2  0  0  4  0  4  4  4  2  6  0  4  6  0  6  0  2  6  2  2  0  2  6  4  4  4  2  2  6  0  4  6  2  6  2  6  2  0  2  4  2  0  0  0  0  4  4  0  0  4  2  2  4  2  0  0

generates a code of length 78 over Z8 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+23x^70+66x^71+95x^72+132x^73+150x^74+156x^75+175x^76+202x^77+196x^78+176x^79+163x^80+118x^81+101x^82+86x^83+54x^84+36x^85+28x^86+18x^87+17x^88+18x^89+9x^90+10x^91+2x^92+6x^93+5x^94+4x^96+1x^124

The gray image is a code over GF(2) with n=312, k=11 and d=140.
This code was found by Heurico 1.16 in 0.448 seconds.