The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  1  1  2
 0  4  0  0  0  0  0  0  0  0  0  4  4  4
 0  0  4  0  0  0  0  0  0  0  4  4  4  0
 0  0  0  4  0  0  0  0  0  0  4  0  4  4
 0  0  0  0  4  0  0  0  0  4  0  0  4  4
 0  0  0  0  0  4  0  0  0  4  0  4  0  4
 0  0  0  0  0  0  4  0  0  4  0  4  4  0
 0  0  0  0  0  0  0  4  0  4  4  0  4  0
 0  0  0  0  0  0  0  0  4  4  4  0  0  4

generates a code of length 14 over Z8 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+77x^8+296x^12+1280x^14+331x^16+56x^20+7x^24

The gray image is a code over GF(2) with n=56, k=11 and d=16.
This code was found by Heurico 1.16 in 0.0105 seconds.