The generator matrix

 1  0  1  1  1 14  1  1  0  1 14  1  0  1  1  4  1  2  8  1 12
 0  1 11  6  1  1  0  3  1 14  1  5  1 14 11  4  6 14  2  1  2
 0  0 12  0  0  0  0  0  0  8  8  4  4 12  8  4 12  8 12 12 12
 0  0  0 12  0  0 12  8 12  8  4  4 12  0 12 12 12  4  0  4  0
 0  0  0  0  4  4 12  8  4 12  0  8  8  0  8 12  8  0  8  4 12
 0  0  0  0  0  8  8  8  8  8  0  0  8  8  8  8  8  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+70x^15+273x^16+608x^17+1640x^18+3658x^19+6306x^20+7716x^21+6208x^22+3642x^23+1717x^24+632x^25+216x^26+54x^27+22x^28+4x^29+1x^40

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 19.8 seconds.