The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+54x^33+224x^34+672x^35+1204x^36+1346x^37+1322x^38+1362x^39+1095x^40+574x^41+202x^42+40x^43+31x^44+42x^45+10x^46+6x^47+4x^48+2x^50+1x^52

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 0.497 seconds.