The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+80x^15+314x^16+802x^17+1460x^18+3410x^19+6509x^20+7660x^21+6260x^22+3716x^23+1545x^24+618x^25+244x^26+90x^27+47x^28+8x^29+4x^30

The gray image is a code over GF(2) with n=168, k=15 and d=60.
This code was found by Heurico 1.16 in 3.68 seconds.