The generator matrix

 1  0  0  1  1  1  0  1  1  1  8  1  6 14  0  1  1  1  1  2  4  2  1 12  6  1  6  8  1  1  1 10  1  8 14  1  1 10
 0  1  0  0  5 11  1  6  9  1  8  8  0  1  1 15 12 13  2  1  1  1  2 14  1  4  8  1  6  9  3  1  2 12 14  5 13  8
 0  0  1  1  1  4  1  9 10 11  1  6  1  2  1 10  4 11 15  5 12  2 11  1  9 10  1 11 14  7  5 12  9  1  1  2  2  1
 0  0  0  2 10  8 10  2  4 14  6 12  6  6 12 10 14  0  0  4  6  8  2 14 14 14  0 12 14 12 12  0  0  8 12  8  6  4

generates a code of length 38 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+418x^33+1259x^34+2714x^35+3670x^36+5430x^37+5760x^38+5664x^39+3815x^40+2392x^41+955x^42+474x^43+144x^44+46x^45+10x^46+12x^47+2x^48+2x^49

The gray image is a code over GF(2) with n=304, k=15 and d=132.
This code was found by Heurico 1.16 in 15.5 seconds.