The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+80x^33+326x^34+546x^35+1113x^36+1510x^37+1372x^38+1330x^39+904x^40+496x^41+299x^42+106x^43+57x^44+26x^45+14x^46+2x^47+5x^48+5x^50

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 0.494 seconds.