The generator matrix

 1  0  1  1  1  6  1  1  1  1  1
 0  1  3  6  5  1  0  6  6  2  0
 0  0  4  0  4  0  0  4  0  4  0
 0  0  0  4  4  4  4  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+13x^8+24x^9+83x^10+16x^11+82x^12+24x^13+10x^14+3x^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 0.000592 seconds.