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

generates a code of length 85 over Z8 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+2x^86+20x^87+2x^88+4x^89+1x^90+1x^92+1x^94

The gray image is a code over GF(2) with n=340, k=5 and d=172.
This code was found by Heurico 1.16 in 0.203 seconds.