The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+3x^44+22x^45+3x^46+2x^49+1x^50

The gray image is a code over GF(2) with n=176, k=5 and d=88.
This code was found by Heurico 1.16 in 0.017 seconds.