The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+44x^13+125x^14+306x^15+540x^16+1572x^17+3419x^18+4342x^19+3457x^20+1588x^21+539x^22+302x^23+91x^24+28x^25+13x^26+10x^27+7x^28

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 0.92 seconds.