The generator matrix

 1  0  1  1  1  6  1  1  8  1 14  1  1  1  1  1  4 10  1  1  2
 0  1 11  6 13  1  0  3  1 14  1  5 15  4  2  1  1  1  0 14  8
 0  0 12  0  4  0 12  8  4 12 12  8  0  4 12  4 12  0  8  4  4
 0  0  0  8  0  0  0  8  0  0  0  8  8  8  8  8  0  0  0  0  8
 0  0  0  0  8  0  0  0  0  0  8  8  8  0  8  8  8  0  0  8  0
 0  0  0  0  0  8  0  0  8  8  8  8  0  0  8  0  0  0  8  8  0
 0  0  0  0  0  0  8  0  0  8  0  0  0  8  8  0  8  8  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+156x^16+32x^17+848x^18+1280x^19+4676x^20+2496x^21+4544x^22+1280x^23+896x^24+32x^25+112x^26+28x^28+3x^32

The gray image is a code over GF(2) with n=168, k=14 and d=64.
This code was found by Heurico 1.16 in 0.755 seconds.