The generator matrix

 1  0  0  1  1  1  6  1  1  1  1
 0  1  0  1  0  3  1  4  1  2  0
 0  0  1  1  1  0  1  0  3  1  0
 0  0  0  2  0  0  0  2  4  6  0
 0  0  0  0  2  6  6  0  6  2  0
 0  0  0  0  0  4  0  0  4  4  4
 0  0  0  0  0  0  4  4  4  4  4

generates a code of length 11 over Z8 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+28x^5+137x^6+426x^7+1433x^8+3552x^9+6613x^10+8366x^11+6635x^12+3564x^13+1435x^14+422x^15+122x^16+24x^17+7x^18+2x^19+1x^20

The gray image is a code over GF(2) with n=44, k=15 and d=10.
This code was found by Heurico 1.16 in 0.619 seconds.