The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+54x^8+64x^9+72x^10+128x^11+72x^12+64x^13+56x^14+1x^16

The gray image is a code over GF(2) with n=44, k=9 and d=16.
This code was found by Heurico 1.16 in 0.00237 seconds.