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

generates a code of length 43 over Z8 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+70x^34+104x^35+142x^36+252x^37+270x^38+366x^39+550x^40+756x^41+1023x^42+1094x^43+1019x^44+860x^45+533x^46+386x^47+280x^48+140x^49+135x^50+90x^51+51x^52+40x^53+16x^54+8x^55+5x^56+1x^70

The gray image is a code over GF(2) with n=172, k=13 and d=68.
This code was found by Heurico 1.16 in 2.41 seconds.