The generator matrix

 1  0  1  1  1  2  1  1 12  1  1  1  1  8  1  1  8  1
 0  1  1  4  3  1 10 13  1  7  2  0  6  2  2  3  4  0
 0  0  2  2  0  2  6  4 14  2 10  6  6  2  4 14  2  0
 0  0  0  8  0  8  0  8  0  8  0  0  8  8  0  0  0  8
 0  0  0  0  8  8  0  8  8  8  8  8  8  0  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+64x^14+452x^15+725x^16+1802x^17+2128x^18+1792x^19+740x^20+404x^21+44x^22+28x^23+6x^24+2x^25+4x^26

The gray image is a code over GF(2) with n=144, k=13 and d=56.
This code was found by Heurico 1.16 in 0.188 seconds.