The generator matrix

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

generates a code of length 19 over Z16 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+34x^13+106x^14+410x^15+637x^16+2126x^17+2583x^18+4574x^19+2596x^20+2158x^21+630x^22+390x^23+90x^24+34x^25+8x^26+2x^27+4x^28+1x^34

The gray image is a code over GF(2) with n=152, k=14 and d=52.
This code was found by Heurico 1.16 in 1.72 seconds.