The generator matrix

 1  0  1  1  1  0  1  1  1  1  1
 0  1  3  6  1  1  0  0  0  0  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  0

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

Homogenous weight enumerator: w(x)=1x^0+44x^4+32x^5+49x^6+128x^7+214x^8+736x^9+1740x^10+2304x^11+1740x^12+736x^13+214x^14+128x^15+49x^16+32x^17+44x^18+1x^22

The gray image is a code over GF(2) with n=44, k=13 and d=8.
This code was found by Heurico 1.16 in 0.0346 seconds.