The generator matrix

 1  1  1  1  1  1  1  1  2  8  2  1  4  2  1  2  1  1
 0  2  0  6  4 14 12  2 14  2  2  8  2  6  0 10 14 10
 0  0 12  0  4  4  8  4  4  4  4 12 12  0  0  8  4  0
 0  0  0  8  0  0  8  0  0  8  8  8  0  0  8  8  0  0
 0  0  0  0  8  0  0  8  8  8  0  0  8  8  8  0  0  8
 0  0  0  0  0  8  0  8  8  0  8  0  0  0  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+117x^14+64x^15+641x^16+704x^17+1064x^18+704x^19+616x^20+64x^21+98x^22+22x^24+1x^30

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 0.867 seconds.