The generator matrix

 1  0  1  1  1  4  1  1  4  1 10  1  0  1  1  1  1  4  1  6  1  8  1  1  1  6  1  1  2  6  1 14 12  4  8  0 14  1
 0  1  1  0  3  1  1  8  1  4  1  9  1 10  3  2 11  1 14  1 13  1  7 10 13  1  9 14  1  1 14  1  2  1  2  2  1  8
 0  0  2  0  0  8 10  2  6 14 14  0  2  6  2  4 14  8  4 14  0 12 12 10  2  4  6 12  8  0  0  4 10 14  2 10 12  4
 0  0  0  2  0 10 14 14  4 12  6  6  2  0  8  8 10  4 14  8 10  6  0  2  4  4  2  4 12  6 10 12  6  8 12  8  8  0
 0  0  0  0  8  0  0  8  8  8  8  0  0  0  8  8  8  8  8  0  8  8  0  8  0  0  8  0  8  0  0  8  0  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+185x^32+562x^33+1370x^34+1916x^35+4047x^36+5252x^37+6212x^38+5190x^39+4129x^40+1908x^41+1198x^42+434x^43+241x^44+84x^45+16x^46+10x^47+5x^48+2x^49+4x^50+2x^51

The gray image is a code over GF(2) with n=304, k=15 and d=128.
This code was found by Heurico 1.16 in 6.41 seconds.