The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+87x^34+188x^35+343x^36+476x^37+925x^38+1268x^39+1875x^40+2528x^41+3135x^42+3720x^43+3682x^44+3668x^45+3042x^46+2648x^47+1978x^48+1260x^49+925x^50+476x^51+287x^52+128x^53+73x^54+20x^55+25x^56+4x^57+5x^58+1x^80

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 25.9 seconds.