The generator matrix

 1  1  1  1  1  2  1  1  1  1  1
 0  2  0  0  0  0  2  6  2  4  0
 0  0  2  0  0  2  2  6  0  0  0
 0  0  0  2  0  2  0  0  0  2  2
 0  0  0  0  2  2  0  6  2  0  2
 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+63x^4+96x^5+260x^6+704x^7+1126x^8+1952x^9+6756x^10+10880x^11+6714x^12+1952x^13+1132x^14+704x^15+281x^16+96x^17+44x^18+7x^20

The gray image is a code over GF(2) with n=44, k=15 and d=8.
This code was found by Heurico 1.16 in 0.745 seconds.