The generator matrix

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

generates a code of length 44 over Z8 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+35x^34+98x^35+204x^36+586x^37+476x^38+1834x^39+960x^40+3830x^41+1505x^42+5912x^43+1808x^44+5936x^45+1559x^46+3928x^47+965x^48+1816x^49+477x^50+502x^51+132x^52+118x^53+34x^54+14x^55+18x^56+2x^57+7x^58+8x^60+3x^62

The gray image is a code over GF(2) with n=176, k=15 and d=68.
This code was found by Heurico 1.16 in 20.4 seconds.