The generator matrix
1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 2 1 1 2
0 8 0 0 0 8 8 8 0 0 8 8 0 8 8 0 0 0 0 8 8
0 0 8 0 8 8 8 0 0 8 8 0 8 8 0 0 0 0 8 8 0
0 0 0 8 8 0 8 8 8 8 0 0 0 8 8 0 8 0 8 0 0
generates a code of length 21 over Z16 who´s minimum homogenous weight is 20.
Homogenous weight enumerator: w(x)=1x^0+18x^20+96x^21+6x^22+5x^24+2x^30
The gray image is a code over GF(2) with n=168, k=7 and d=80.
This code was found by Heurico 1.16 in 0.00326 seconds.