The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+54x^5+214x^6+854x^7+2863x^8+7494x^9+13308x^10+15958x^11+13295x^12+7506x^13+2886x^14+850x^15+192x^16+50x^17+8x^18+2x^19+1x^20

The gray image is a code over GF(2) with n=44, k=16 and d=10.
This code was found by Heurico 1.16 in 2.33 seconds.