The generator matrix

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

generates a code of length 12 over GR(16,4) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+333x^24+468x^25+144x^26+1056x^27+3612x^28+2448x^29+3264x^30+9504x^31+15690x^32+14040x^33+18144x^34+28512x^35+46752x^36+31824x^37+27072x^38+28512x^39+23559x^40+6516x^41+528x^42+132x^44+33x^48

The gray image is a code over GF(4) with n=48, k=9 and d=24.
This code was found by Heurico 1.16 in 21.1 seconds.