The generator matrix

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

generates a code of length 11 over Z8 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+16x^6+16x^7+78x^8+192x^9+548x^10+352x^11+544x^12+192x^13+72x^14+16x^15+17x^16+4x^18

The gray image is a code over GF(2) with n=44, k=11 and d=12.
This code was found by Heurico 1.16 in 0.00605 seconds.