The generator matrix
1 1 1 1 1 1 1 1 2 2 1
0 2 0 0 0 0 0 2 4 4 0
0 0 2 0 0 0 0 2 0 4 0
0 0 0 2 0 0 0 2 4 0 0
0 0 0 0 2 0 0 2 6 6 0
0 0 0 0 0 2 0 2 2 2 0
0 0 0 0 0 0 2 2 2 6 0
generates a code of length 11 over Z8 who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+113x^4+68x^5+553x^6+490x^7+1485x^8+4080x^9+1953x^10+15310x^11+1925x^12+4052x^13+1491x^14+518x^15+566x^16+56x^17+99x^18+2x^19+6x^20
The gray image is a code over GF(2) with n=44, k=15 and d=8.
This code was found by Heurico 1.16 in 0.792 seconds.