The generator matrix
1 1 1 1 1 1 1 1 1 1 2 4 1 2 2 0 1 12 2 2 2
0 2 0 2 0 0 6 14 4 2 10 2 4 2 0 8 12 0 12 12 4
0 0 2 2 12 6 6 4 4 10 14 2 10 2 6 2 0 2 6 6 2
0 0 0 8 0 0 8 0 0 8 8 0 8 0 8 0 8 8 0 0 0
0 0 0 0 8 0 8 0 8 0 0 8 8 8 8 8 8 0 0 0 8
0 0 0 0 0 8 0 8 8 8 8 8 0 0 8 0 8 0 0 8 8
generates a code of length 21 over Z16 who´s minimum homogenous weight is 16.
Homogenous weight enumerator: w(x)=1x^0+56x^16+230x^17+490x^18+900x^19+1639x^20+1574x^21+1634x^22+936x^23+467x^24+178x^25+46x^26+20x^27+13x^28+2x^29+6x^30
The gray image is a code over GF(2) with n=168, k=13 and d=64.
This code was found by Heurico 1.16 in 0.244 seconds.