The generator matrix

 1  1  1  1  1  1  1  1  1  1  1
 0  2  0  0  0  0  0  4  4  6  6
 0  0  2  0  0  0  2  2  6  0  4
 0  0  0  2  0  2  2  2  4  0  0
 0  0  0  0  2  2  0  2  6  4  4
 0  0  0  0  0  4  0  4  0  0  4
 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+173x^6+160x^7+234x^8+384x^9+616x^10+5056x^11+616x^12+384x^13+234x^14+160x^15+173x^16+1x^22

The gray image is a code over GF(2) with n=44, k=13 and d=12.
This code was found by Heurico 1.16 in 1.5 seconds.