The generator matrix

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

generates a code of length 9 over GR(16,4) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+108x^22+30x^24+216x^26+384x^27+18x^28+252x^30+9x^32+6x^36

The gray image is a code over GF(4) with n=36, k=5 and d=22.
This code was found by Heurico 1.16 in 1.01e-007 seconds.