The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+74x^34+202x^35+565x^36+1044x^37+1558x^38+2772x^39+3655x^40+5420x^41+5747x^42+7938x^43+7329x^44+7974x^45+6152x^46+5494x^47+3571x^48+2790x^49+1428x^50+972x^51+455x^52+174x^53+138x^54+30x^55+37x^56+6x^57+7x^58+3x^60

The gray image is a code over GF(2) with n=176, k=16 and d=68.
This code was found by Heurico 1.16 in 72.3 seconds.