The generator matrix
1 0 1 1 1 0 1 1 0 1 1
0 1 1 0 1 1 3 4 1 0 0
0 0 2 0 0 0 0 2 4 2 0
0 0 0 2 0 6 2 2 6 6 0
0 0 0 0 2 0 2 2 2 4 0
0 0 0 0 0 4 0 4 4 0 0
0 0 0 0 0 0 4 4 0 0 4
generates a code of length 11 over Z8 who´s minimum homogenous weight is 5.
Homogenous weight enumerator: w(x)=1x^0+32x^5+93x^6+204x^7+605x^8+1712x^9+3389x^10+4300x^11+3411x^12+1696x^13+607x^14+228x^15+78x^16+16x^17+7x^18+4x^19+1x^20
The gray image is a code over GF(2) with n=44, k=14 and d=10.
This code was found by Heurico 1.16 in 0.211 seconds.