The generator matrix

 1  0  0  1  1  1  1  6  1  1  1
 0  1  0  1  6  7  3  1  3  1  3
 0  0  1  1  1  0  3  5  2  3  4
 0  0  0  2  6  2  4  6  6  6  0

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

Homogenous weight enumerator: w(x)=1x^0+142x^8+264x^9+344x^10+520x^11+424x^12+216x^13+104x^14+24x^15+9x^16

The gray image is a code over GF(2) with n=44, k=11 and d=16.
This code was found by Heurico 1.16 in 0.0177 seconds.