The generator matrix
1 1 1 1 1 1 1 1
0 2 0 0 2 0 2 2
0 0 2 0 2a+2 2 2a+2 2a
0 0 0 2 2 2 2a 2a+2
generates a code of length 8 over GR(16,4) who´s minimum homogenous weight is 16.
Homogenous weight enumerator: w(x)=1x^0+30x^16+60x^20+828x^24+84x^28+21x^32
The gray image is a code over GF(4) with n=32, k=5 and d=16.
This code was found by Heurico 1.16 in -3.62e-008 seconds.