The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+32x^14+180x^15+147x^16+468x^17+416x^18+456x^19+134x^20+168x^21+32x^22+4x^23+4x^24+4x^25+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 0.019 seconds.