The generator matrix

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

generates a code of length 9 over GR(16,4) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+51x^16+48x^18+135x^20+384x^21+432x^22+1746x^24+2304x^25+1296x^26+4926x^28+3456x^29+1296x^30+234x^32+75x^36

The gray image is a code over GF(4) with n=36, k=7 and d=16.
This code was found by Heurico 1.16 in 0.0489 seconds.