The generator matrix

 1  0  1  1  1  6  1
 0  1  3  6  5  1 12

generates a code of length 7 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+78x^6+96x^7+79x^8+2x^10

The gray image is a code over GF(2) with n=56, k=8 and d=24.
This code was found by Heurico 1.16 in 0.000217 seconds.