The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+89x^34+456x^35+870x^36+1812x^37+2566x^38+4028x^39+4798x^40+6814x^41+7026x^42+8340x^43+6955x^44+7226x^45+5142x^46+4152x^47+2318x^48+1442x^49+729x^50+476x^51+191x^52+50x^53+32x^54+20x^55+3x^56

The gray image is a code over GF(2) with n=172, k=16 and d=68.
This code was found by Heurico 1.11 in 32.3 seconds.