The generator matrix

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

generates a code of length 9 over GR(16,4) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+30x^24+192x^27+18x^28+9x^32+6x^36

The gray image is a code over GF(4) with n=36, k=4 and d=24.
This code was found by Heurico 1.16 in 1.01e-007 seconds.