The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+100x^4+536x^6+32x^7+1622x^8+896x^9+3864x^10+2240x^11+3948x^12+896x^13+1544x^14+32x^15+593x^16+72x^18+8x^20

The gray image is a code over GF(2) with n=44, k=14 and d=8.
This code was found by Heurico 1.16 in 0.136 seconds.