The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+282x^32+1006x^33+2446x^34+4618x^35+7818x^36+10264x^37+12282x^38+11040x^39+7778x^40+4374x^41+2268x^42+874x^43+370x^44+60x^45+26x^46+12x^47+7x^48+8x^49+2x^50

The gray image is a code over GF(2) with n=304, k=16 and d=128.
This code was found by Heurico 1.16 in 19.7 seconds.