The generator matrix

 1  0  0  1  1  1  6  2  1  1  1
 0  1  0  1  0  1  1  0  2  4  0
 0  0  1  1  1  0  1  0  1  0  0
 0  0  0  2  0  0  0  2  4  0  0
 0  0  0  0  2  0  0  2  6  4  0
 0  0  0  0  0  2  6  0  2  2  0
 0  0  0  0  0  0  4  4  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+32x^4+126x^5+434x^6+1410x^7+3478x^8+7822x^9+12454x^10+14050x^11+12400x^12+7818x^13+3518x^14+1430x^15+409x^16+106x^17+42x^18+6x^19

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 1.66 seconds.