The generator matrix

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

generates a code of length 18 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+51x^14+48x^15+293x^16+272x^17+733x^18+272x^19+274x^20+48x^21+45x^22+6x^24+3x^26+2x^28

The gray image is a code over GF(2) with n=144, k=11 and d=56.
This code was found by Heurico 1.16 in 0.0252 seconds.