The generator matrix
1 0 0 1 1 1 1 1 1
0 1 0 1 a 3a+3 0 1 3a+2
0 0 1 3a+3 a 1 a 1 3a+3
0 0 0 2 0 2 0 2 2a+2
0 0 0 0 2 2a+2 2a 2 2a
generates a code of length 9 over GR(16,4) who´s minimum homogenous weight is 16.
Homogenous weight enumerator: w(x)=1x^0+72x^16+432x^18+90x^20+1152x^21+4464x^22+2532x^24+6912x^25+12816x^26+6144x^27+7236x^28+10368x^29+13008x^30+243x^32+66x^36
The gray image is a code over GF(4) with n=36, k=8 and d=16.
This code was found by Heurico 1.16 in 0.692 seconds.