The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+32x^15+64x^16+194x^18+224x^19+1024x^20+1024x^21+1024x^22+224x^23+188x^24+60x^26+32x^27+3x^32+2x^34

The gray image is a code over GF(2) with n=168, k=12 and d=60.
This code was found by Heurico 1.16 in 0.132 seconds.