The generator matrix

 1  0  1  1  1  6  1  1 12  1  1  0  1  1  2  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  6  6  5  3  0
 0  0  8  0  0  8  8  0  0  8  8  8  0  0  8  0  0  0
 0  0  0  8  0  8  8  8  8  0  8  0  8  0  0  8  8  0
 0  0  0  0  8  8  8  8  0  8  0  8  0  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+26x^14+78x^15+189x^16+500x^17+465x^18+496x^19+190x^20+76x^21+20x^22+2x^23+3x^24+1x^26+1x^32

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 0.0113 seconds.