The generator matrix

 1  0  0  1  1  1  6  1
 0  1  0  1  6  7  1  0
 0  0  1  1  3  2  3  0

generates a code of length 8 over Z16 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+72x^5+288x^6+672x^7+2049x^8+648x^9+280x^10+80x^11+6x^12

The gray image is a code over GF(2) with n=64, k=12 and d=20.
This code was found by Heurico 1.16 in 0.015 seconds.