The generator matrix

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

generates a code of length 44 over Z8 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+52x^35+144x^36+282x^37+357x^38+574x^39+918x^40+1296x^41+1623x^42+1832x^43+2192x^44+2008x^45+1555x^46+1256x^47+893x^48+616x^49+323x^50+172x^51+131x^52+86x^53+44x^54+18x^55+7x^56+2x^58+1x^60+1x^64

The gray image is a code over GF(2) with n=176, k=14 and d=70.
This code was found by Heurico 1.16 in 6.89 seconds.