The generator matrix

 1  0  1  1  1  0  1  1  2  1  1
 0  1  1  0  1  1  0  0  4  0  0
 0  0  2  0  0  0  0  6  0  4  0
 0  0  0  2  0  0  2  6  2  4  0
 0  0  0  0  2  0  2  0  0  2  4
 0  0  0  0  0  2  0  6  0  2  4
 0  0  0  0  0  0  4  0  4  4  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+80x^4+90x^5+462x^6+870x^7+2724x^8+6970x^9+13126x^10+16918x^11+13098x^12+6942x^13+2730x^14+898x^15+475x^16+78x^17+66x^18+2x^19+6x^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 2.02 seconds.