The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+59x^4+48x^5+374x^6+544x^7+1325x^8+3024x^9+6433x^10+9152x^11+6433x^12+3024x^13+1325x^14+544x^15+374x^16+48x^17+59x^18+1x^22

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 0.541 seconds.