The generator matrix

 1  0  1  1  1  6  1  1  2  2  1
 0  1  1  6  7  1  4  2  4  0  0
 0  0  2  0  6  4  2  6  2  6  0
 0  0  0  4  4  4  0  0  4  0  0

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

Homogenous weight enumerator: w(x)=1x^0+53x^8+52x^9+141x^10+28x^11+134x^12+44x^13+50x^14+4x^15+4x^16+1x^18

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 0.00138 seconds.