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

generates a code of length 44 over Z8 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+254x^40+128x^42+292x^44+128x^46+187x^48+28x^52+5x^56+1x^72

The gray image is a code over GF(2) with n=176, k=10 and d=80.
This code was found by Heurico 1.16 in 58.1 seconds.