The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  0  2  2  4  2  2  0  0  4  0  1  1  1  1  2  2  4  4  4  0  2  2  2  1  4  1
 0  2  0  2  0  0  2  2  4  4  6  6  4  4  6  6  4  2  2  0  6  2  6  6  0  4  2  2  0  0  4  4  2  2  4  0  2  2  0  0  4  6  2  4
 0  0  2  2  4  6  6  4  4  2  6  0  0  6  2  4  2  2  4  2  2  0  0  4  2  2  2  6  0  4  4  0  4  0  2  2  6  2  0  4  4  0  2  2

generates a code of length 44 over Z8 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+24x^42+16x^43+50x^44+16x^45+10x^46+3x^48+4x^50+2x^52+2x^54

The gray image is a code over GF(2) with n=176, k=7 and d=84.
This code was found by Heurico 1.16 in 0.0178 seconds.