The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+63x^4+32x^5+56x^6+192x^7+754x^8+1504x^9+3096x^10+4736x^11+3558x^12+1504x^13+424x^14+192x^15+221x^16+32x^17+8x^18+11x^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 0.16 seconds.