The generator matrix

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

generates a code of length 11 over Z8 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+21x^8+48x^9+9x^10+96x^11+10x^12+48x^13+22x^14+1x^18

The gray image is a code over GF(2) with n=44, k=8 and d=16.
This code was found by Heurico 1.16 in 0.001 seconds.