The generator matrix

 1  0  1  1  1  1  1  1  1
 0  1 2a+3  a a+1  2 2a+1 a+2 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+27x^24+48x^25+36x^26+78x^28+48x^29+12x^30+6x^32

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.