The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  1  1  2  2  2  2  1  4  1  0  4  8  2  2  4  1  1  4  2  2  1  1
 0 12  8  4  0 12  8  4  0 12  8  4 12  4  0  8 12  4 12  0  8  4  0 12  8  4  4  4  0  8  8 12  4  0 12  4  0  8

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

Homogenous weight enumerator: w(x)=1x^0+50x^38+9x^40+2x^42+2x^44

The gray image is a code over GF(2) with n=304, k=6 and d=152.
This code was found by Heurico 1.16 in 0.0273 seconds.