The generator matrix

 1  0  1  1  1  8  1  1 14  1  6  1  8  1  1  2  1  1  1  1  1  1  2  1 10  2  1 12 12  1  1  0  6  4  1 12  1  1
 0  1  1  4  3  1  2  9  1  6  1  7  1  6  7  1  9  0 12 11 10  1  1 12  1  6  2  1  1  8  5  0  1  1 12  2 13  8
 0  0  2 10  8 10 10  8 10  0  0  2  4 12 14  4 14 12  6  4 14 12  2  0 14 10  4 14 10 14  4  2 12  4  4  2  6  4

generates a code of length 38 over Z16 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+134x^35+444x^36+382x^37+380x^38+196x^39+272x^40+106x^41+74x^42+30x^43+11x^44+12x^45+1x^46+4x^47+1x^50

The gray image is a code over GF(2) with n=304, k=11 and d=140.
This code was found by Heurico 1.16 in 0.06 seconds.