The generator matrix

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

generates a code of length 9 over GR(16,4) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+48x^20+192x^21+252x^24+1152x^25+648x^28+1728x^29+51x^32+24x^36

The gray image is a code over GF(4) with n=36, k=6 and d=20.
This code was found by Heurico 1.16 in 0.00639 seconds.