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

generates a code of length 86 over Z8 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+46x^78+62x^79+58x^80+116x^81+168x^82+174x^83+193x^84+202x^85+190x^86+186x^87+144x^88+130x^89+96x^90+66x^91+54x^92+34x^93+19x^94+20x^95+21x^96+26x^97+16x^98+9x^100+4x^101+8x^102+4x^103+1x^142

The gray image is a code over GF(2) with n=344, k=11 and d=156.
This code was found by Heurico 1.16 in 0.66 seconds.