The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+110x^33+145x^34+472x^35+314x^36+832x^37+404x^38+892x^39+280x^40+380x^41+96x^42+96x^43+22x^44+16x^45+8x^46+12x^47+7x^48+6x^49+3x^50

The gray image is a code over GF(2) with n=304, k=12 and d=132.
This code was found by Heurico 1.16 in 0.631 seconds.