The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  6 12 10  3  5
 0  0  8  0  0  0  0  8  0  8  8  8  0  0  8  8  0  0
 0  0  0  8  0  0  8  8  0  8  0  8  0  8  8  0  0  8
 0  0  0  0  8  0  8  0  8  8  8  8  0  8  0  8  0  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  8  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+53x^14+32x^15+578x^16+864x^17+1047x^18+864x^19+567x^20+32x^21+51x^22+5x^24+1x^26+1x^28

The gray image is a code over GF(2) with n=144, k=12 and d=56.
This code was found by Heurico 1.16 in 0.0529 seconds.