The generator matrix

 1  0  1  1  1  4  1  1  0  1  1  4  6  1 12  1  0  4  6
 0  1  1  0  3  1  3  0  1 12  9  1  1  4  1 10 12  1  1
 0  0  2  0  2  8  4 10 10 10  8  2 12  8  4 14  2 14  2
 0  0  0  2  2 10 12 10 10  4 14  8  0 14  6 10  8 14  8
 0  0  0  0  4  0  8  8  0  0  8  8  4 12  4 12 12  4 12

generates a code of length 19 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+416x^14+704x^15+2504x^16+6132x^17+13364x^18+19024x^19+13645x^20+6296x^21+2458x^22+592x^23+359x^24+20x^25+16x^26+3x^28+2x^30

The gray image is a code over GF(2) with n=152, k=16 and d=56.
This code was found by Heurico 1.16 in 72.2 seconds.