The generator matrix

 1  1  1  1  1  1  1  1  1  2  0  1  8  2  1  2  1  2  1  2  2
 0  2  0  6  0  6  0  2  4 14  2 10  2  6  2  6 10  4  2  4  6
 0  0 12  0  0  4  4  4 12  0  8 12 12 12  0  0  0  8  8 12 12
 0  0  0 12 12  4  4  0  8  4  8 12  0  4  4  0  8 12  4 12  4
 0  0  0  0  8  0  0  0  0  0  8  8  8  8  0  8  0  0  8  8  8
 0  0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  0  8  8
 0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  0  0  8  0  0

generates a code of length 21 over Z16 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+76x^15+198x^16+368x^17+670x^18+1580x^19+3254x^20+4112x^21+3174x^22+1636x^23+734x^24+368x^25+122x^26+36x^27+34x^28+16x^29+2x^30+3x^32

The gray image is a code over GF(2) with n=168, k=14 and d=60.
This code was found by Heurico 1.16 in 57.8 seconds.