The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+338x^14+652x^15+1596x^16+3404x^17+6169x^18+8248x^19+6439x^20+3480x^21+1529x^22+572x^23+279x^24+28x^25+27x^26+5x^28+1x^30

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 3.33 seconds.