The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  4  2  1  2  4  4  1  2
 0 12  0  4  0  0  4 12  8 12  8  0  4  4  4  8  0  0  0 12 12
 0  0 12  4  0 12  4  8  4  4  4  0  4  4 12  4 12 12 12  0  0
 0  0  0  8  0  0  0  0  0  8  8  8  8  0  8  0  8  8  0  8  8
 0  0  0  0  8  0  0  8  8  8  8  8  8  0  0  0  0  0  8  0  0
 0  0  0  0  0  8  0  0  8  0  0  0  8  0  8  8  0  8  0  8  8
 0  0  0  0  0  0  8  0  0  0  8  8  8  0  0  8  8  0  8  0  8

generates a code of length 21 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+126x^16+376x^18+128x^19+1046x^20+768x^21+1024x^22+128x^23+390x^24+72x^26+34x^28+3x^32

The gray image is a code over GF(2) with n=168, k=12 and d=64.
This code was found by Heurico 1.16 in 0.281 seconds.