The generator matrix

 1  0  1  1  1  1
 0  1  1  a  0  0
 0  0 2a+2  0  0  2
 0  0  0  2  0 2a+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+48x^9+120x^12+432x^13+2304x^15+315x^16+1296x^17+3072x^18+6912x^19+360x^20+1296x^21+183x^24

The gray image is a code over GF(4) with n=24, k=7 and d=8.
This code was found by Heurico 1.16 in 0.0219 seconds.