The generator matrix

 1  0  1  1  1  0  1  1  2  1  1
 0  1  3  6  1  1  0  0  0  0  0
 0  0  4  0  0  0  0  0  4  0  0
 0  0  0  4  0  0  0  0  4  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+36x^4+32x^5+32x^6+96x^7+190x^8+352x^9+744x^10+1088x^11+828x^12+352x^13+112x^14+96x^15+89x^16+32x^17+8x^18+8x^20

The gray image is a code over GF(2) with n=44, k=12 and d=8.
This code was found by Heurico 1.16 in 0.00832 seconds.