The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+119x^14+200x^15+562x^16+704x^17+968x^18+688x^19+530x^20+192x^21+95x^22+8x^23+27x^24+2x^26

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 0.0655 seconds.