The generator matrix

 1  0  1  1  1 12  1  1 14  1  1  4  1  1  1  1  0  1 12 12  1
 0  1  1  0  3  1  1  0  1  6  9  1  6 10 14  4 12 11  1  0  0
 0  0  2  0  0  8 10  6  2  2 12  6 14  4 14  4  2 10  0  2  6
 0  0  0  2  0 14 14  8 14 10 10  4  8  2 10 14  4  8  6 14  6
 0  0  0  0  8  0  0  0  8  8  8  8  8  0  0  8  0  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+157x^16+536x^17+1631x^18+3220x^19+6626x^20+8288x^21+6788x^22+3384x^23+1494x^24+424x^25+180x^26+20x^27+10x^28+8x^30+1x^34

The gray image is a code over GF(2) with n=168, k=15 and d=64.
This code was found by Heurico 1.16 in 2.74 seconds.