The generator matrix

 1  0  1  1  1  6  2  1
 0  1  3  6  5  1  0 12
 0  0  8  0  8  0  8  0

generates a code of length 8 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+24x^6+128x^7+206x^8+128x^9+24x^10+1x^16

The gray image is a code over GF(2) with n=64, k=9 and d=24.
This code was found by Heurico 1.16 in 0.000451 seconds.