The generator matrix

 1  0  1  1  1  4  1  1  4  1  0  1  1  1  1  6  1  4  1  2 12  8  1  1 12  1  1  1  1  1  1 10  2  6  2  1  1  1
 0  1  1  0  3  1  1  8  1  0  1 15 13 14 10  1  3  1  1  1  1  1  6  4  1  1 13  2  9  2  3  1  4  1  2 11 12 12
 0  0  2  0  0  8 10  2  6  6  2  4  4 10  6 12 10  0 14  2  6  4  4  8 10 12 12 14  8  0 10 10  0 10 14 10 14  2
 0  0  0  2  8 10 14  6 12  0  2 10  0  6  8 10  4  4  2  4 14  2 12 12  8  2  4 14  6 10 14 10 10 14  6  8  2 10

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

Homogenous weight enumerator: w(x)=1x^0+272x^33+523x^34+1346x^35+1985x^36+2914x^37+2482x^38+2896x^39+1906x^40+1226x^41+447x^42+234x^43+73x^44+46x^45+4x^46+20x^47+3x^48+6x^49

The gray image is a code over GF(2) with n=304, k=14 and d=132.
This code was found by Heurico 1.16 in 5.01 seconds.