The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+264x^32+556x^33+1260x^34+1924x^35+3803x^36+5456x^37+6318x^38+5448x^39+3759x^40+1996x^41+1204x^42+436x^43+213x^44+56x^45+46x^46+24x^48+4x^50

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 63.2 seconds.