The generator matrix

 1  0  1  1  1 12  1  2  1  1 14  1  2  1  1  4  2 12  2
 0  1  1  0 11  1  7  1 10  5  1  2 12 15 15  1  0  1  4
 0  0  2  6  0  2  6  2 10 12  0 12  6  0  2  8  6 12  6
 0  0  0 12  0  0  0  8  8  4  8  4  4 12  4 12  0 12  0
 0  0  0  0 12 12 12  0 12  8 12  4 12 12  0  8  0  4  4

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

Homogenous weight enumerator: w(x)=1x^0+170x^14+488x^15+1443x^16+3164x^17+6886x^18+8496x^19+6774x^20+3320x^21+1430x^22+392x^23+164x^24+12x^25+26x^26+2x^28

The gray image is a code over GF(2) with n=152, k=15 and d=56.
This code was found by Heurico 1.16 in 3.38 seconds.