The generator matrix

 1  0  0  1  1  1 14  1  1  1  1 10  4  1  1  1  1  1  1  0  1
 0  1  0  1  6  7  1  4  3  2  9  1  1 15 12  1 14 13  9  1  4
 0  0  1  1  3  2  3  7  4  6  3 13  0  1  7  8  1  2  6  3  2
 0  0  0 12  0  8 12  8  4  4  8  8 12 12 12  0  0  0 12 12  0
 0  0  0  0  8  8  8  0  0  8  8  8  8  8  8  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+70x^16+420x^17+1554x^18+3212x^19+7170x^20+7804x^21+7347x^22+3320x^23+1391x^24+316x^25+120x^26+28x^27+8x^28+4x^29+3x^30

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 2.16 seconds.