The generator matrix

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

generates a code of length 38 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+156x^32+108x^33+442x^34+416x^35+1314x^36+748x^37+1912x^38+768x^39+1246x^40+420x^41+356x^42+96x^43+132x^44+4x^45+40x^46+29x^48+2x^50+2x^52

The gray image is a code over GF(2) with n=304, k=13 and d=128.
This code was found by Heurico 1.16 in 0.916 seconds.