The generator matrix

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

generates a code of length 39 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+200x^33+553x^34+1326x^35+2499x^36+3784x^37+5167x^38+5768x^39+5290x^40+3856x^41+2222x^42+1214x^43+547x^44+204x^45+87x^46+28x^47+15x^48+3x^50+4x^53

The gray image is a code over GF(2) with n=312, k=15 and d=132.
This code was found by Heurico 1.16 in 9.07 seconds.