The generator matrix

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

generates a code of length 20 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+52x^14+118x^16+128x^17+192x^18+896x^19+1304x^20+896x^21+232x^22+128x^23+104x^24+32x^26+8x^28+4x^30+1x^32

The gray image is a code over GF(2) with n=160, k=12 and d=56.
This code was found by Heurico 1.16 in 0.173 seconds.