The generator matrix

 1  0  0  0  1  1  1  6  1  1  1
 0  1  0  0  2  5  7  1  4  1  4
 0  0  1  0  3  1  2  3  6  7  0
 0  0  0  1  1  2  3  3  4  2  6

generates a code of length 11 over Z8 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+44x^7+241x^8+432x^9+910x^10+840x^11+910x^12+432x^13+241x^14+44x^15+1x^22

The gray image is a code over GF(2) with n=44, k=12 and d=14.
This code was found by Heurico 1.16 in 0.0404 seconds.