The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+80x^42+108x^44+56x^46+2x^48+8x^50+1x^80

The gray image is a code over GF(2) with n=176, k=8 and d=84.
This code was found by Heurico 1.16 in 0.108 seconds.