The generator matrix

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

generates a code of length 6 over GR(16,4) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+45x^8+192x^9+1464x^12+1728x^13+3072x^15+8379x^16+5184x^17+18432x^18+9216x^19+12456x^20+5184x^21+183x^24

The gray image is a code over GF(4) with n=24, k=8 and d=8.
This code was found by Heurico 1.16 in 0.291 seconds.