The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+232x^33+329x^34+622x^35+1029x^36+1318x^37+1513x^38+1038x^39+856x^40+636x^41+273x^42+178x^43+81x^44+70x^45+12x^46+2x^47+1x^48+1x^54

The gray image is a code over GF(2) with n=304, k=13 and d=132.
This code was found by Heurico 1.16 in 0.919 seconds.