The generator matrix

 1  0  1  1  1  0  1  1  2  1  1
 0  1  1  0  1  1  3  3  0  7  0
 0  0  2  0  0  0  6  0  0  2  2
 0  0  0  2  0  6  6  2  0  2  2
 0  0  0  0  2  0  6  2  2  2  0
 0  0  0  0  0  4  0  0  0  4  0
 0  0  0  0  0  0  4  0  0  0  4
 0  0  0  0  0  0  0  4  0  4  4
 0  0  0  0  0  0  0  0  4  4  0

generates a code of length 11 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+47x^4+96x^5+404x^6+832x^7+3094x^8+7072x^9+12852x^10+16768x^11+12810x^12+7072x^13+3100x^14+832x^15+425x^16+96x^17+28x^18+7x^20

The gray image is a code over GF(2) with n=44, k=16 and d=8.
This code was found by Heurico 1.16 in 1.97 seconds.