The generator matrix

 1  0  1  1  1 14  1  1 12  1  6  1  1  1 10  1  1  8  1  1  1  1  8  4  1  1  1  8  1  1  6  1  1  1 10  0  1  1
 0  1 11  6  5  1 13 12  1  6  1  7 10  1  1  8  3  1  8  4  3 15  1  1 14  2  8  2  8  7  1 12  6 14  1  0  5 12
 0  0 12  0  0  8  0  8  8  4  4 12  4  8  4  8  8  0  4 12  4 12  4 12  4 12  0  8 12  8  0  4  0  0  8  4  8  4
 0  0  0 12  8 12  4  0  0  4  4  8 12  4 12 12  8 12  0  8 12  4  8  0  8  0 12  4  4  4  8 12  8  0  0  0 12  8

generates a code of length 38 over Z16 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+182x^34+308x^35+649x^36+584x^37+746x^38+624x^39+503x^40+248x^41+172x^42+28x^43+29x^44+18x^46+2x^50+2x^52

The gray image is a code over GF(2) with n=304, k=12 and d=136.
This code was found by Heurico 1.16 in 0.21 seconds.