The generator matrix

 1  0  1  1  1 14  1  1  6  1  1  8  2  2  1  1  1  1  1  1  1
 0  1 11 14  5  1  0  3  1  6 13  1  8 14  4  3  8  3  0  0  0
 0  0 12  4  0  4 12  0  0  8  4 12  4  4  4  0  4  8  0  0  0
 0  0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  8  8  0  0  0
 0  0  0  0  8  0  0  0  0  8  0  8  0  8  0  8  8  0  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  0  0  0  0  0
 0  0  0  0  0  0  8  0  0  0  8  8  8  0  8  8  8  8  0  8  8
 0  0  0  0  0  0  0  8  0  8  0  8  8  0  8  0  8  0  8  8  0
 0  0  0  0  0  0  0  0  8  8  8  0  8  0  0  0  8  8  8  0  8

generates a code of length 21 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+28x^12+8x^13+108x^14+176x^15+536x^16+384x^17+2170x^18+7248x^19+11480x^20+21232x^21+11496x^22+7248x^23+2196x^24+384x^25+532x^26+176x^27+92x^28+8x^29+28x^30+3x^32+2x^34

The gray image is a code over GF(2) with n=168, k=16 and d=48.
This code was found by Heurico 1.16 in 4.78 seconds.