The generator matrix

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

generates a code of length 8 over GR(16,4) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+36x^12+246x^16+840x^20+3072x^21+1632x^24+9216x^25+1236x^28+105x^32

The gray image is a code over GF(4) with n=32, k=7 and d=12.
This code was found by Heurico 1.16 in 0.0313 seconds.