The generator matrix

 1  0  1  1  1  1  1  1  1  1
 0  1  1  a 3a+3  0 2a+3  a  0  0
 0  0 2a+2  0  0  0  2  0  2  2
 0  0  0  2  0  0 2a+2  2 2a 2a+2
 0  0  0  0 2a+2  0  2 2a+2 2a 2a
 0  0  0  0  0  2 2a+2 2a+2 2a  0

generates a code of length 10 over GR(16,4) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+81x^16+48x^18+282x^20+576x^22+2061x^24+2592x^26+6144x^27+10236x^28+5184x^30+18432x^31+15054x^32+3888x^34+714x^36+243x^40

The gray image is a code over GF(4) with n=40, k=8 and d=16.
This code was found by Heurico 1.16 in 0.728 seconds.