The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  4  1  0  1  0  1  1  2  1  6  1  1  1  0  1  1  1  6  2  2  1  1  6  1  1  2  6  6  1  1  2  1  1
 0  1  1  0  1  1  0  3  1  7  4  1  5  1  4  1  7  0  1  3  1  7  0  4  1  3  0  1  1  0  2  6  6  1  7  6  1  1  1  7  1  4  7  0
 0  0  2  0  0  0  0  0  0  0  0  0  4  4  0  0  0  4  4  4  0  4  2  6  6  6  2  6  2  2  6  2  6  2  4  6  2  6  4  0  2  6  4  4
 0  0  0  2  0  0  0  2  2  4  6  0  2  2  4  4  2  2  2  4  2  0  2  0  6  0  4  0  4  2  0  6  2  0  4  0  2  4  6  2  2  2  0  4
 0  0  0  0  2  0  2  2  4  4  6  6  4  6  6  6  6  4  0  6  6  4  2  4  0  4  0  6  4  2  4  2  4  4  2  0  4  4  6  6  6  4  6  0
 0  0  0  0  0  2  2  4  6  6  2  4  6  4  0  6  2  6  0  6  2  4  6  0  0  6  6  4  6  6  4  4  4  0  0  2  2  0  6  0  2  4  4  4
 0  0  0  0  0  0  4  0  0  4  4  4  4  4  4  4  0  0  0  0  4  4  0  4  4  0  4  4  4  4  0  0  4  4  4  0  0  0  0  4  0  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+75x^34+142x^35+274x^36+492x^37+781x^38+1266x^39+1903x^40+2512x^41+3162x^42+3732x^43+3898x^44+3860x^45+3408x^46+2572x^47+1775x^48+1180x^49+745x^50+446x^51+243x^52+144x^53+83x^54+34x^55+33x^56+4x^57+2x^58+1x^68

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 25.8 seconds.