The generator matrix

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

generates a code of length 11 over Z8 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+54x^5+430x^6+1640x^7+6262x^8+14342x^9+27242x^10+31392x^11+26768x^12+14402x^13+6498x^14+1592x^15+377x^16+66x^17+6x^18

The gray image is a code over GF(2) with n=44, k=17 and d=10.
This code was found by Heurico 1.11 in 1.55 seconds.