The generator matrix

 1  0  1  1  1 14  1  1  8  1 10  1  1  0 14  1  1  1  8
 0  1 11  6  1  1  3  8  1 10  1  1  0  1  1 13  8 14  1
 0  0 12  0  0  0  0  4  4 12 12  8  8  0  4  8  0  4  4
 0  0  0 12  0  4  4  4 12  8  8  0  4  4  0  4  0  4 12
 0  0  0  0  4  8 12  4  4 12  4 12  4  4  8  8 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+94x^14+80x^15+657x^16+1440x^17+3616x^18+4640x^19+3602x^20+1440x^21+622x^22+80x^23+90x^24+20x^26+2x^28

The gray image is a code over GF(2) with n=152, k=14 and d=56.
This code was found by Heurico 1.16 in 0.671 seconds.