The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+134x^13+514x^14+1306x^15+2363x^16+6108x^17+13918x^18+16610x^19+14198x^20+6216x^21+2350x^22+1214x^23+396x^24+148x^25+50x^26+6x^27+2x^28+2x^29

The gray image is a code over GF(2) with n=152, k=16 and d=52.
This code was found by Heurico 1.16 in 11 seconds.