The generator matrix

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

generates a code of length 37 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+28x^38+3x^40

The gray image is a code over GF(2) with n=296, k=5 and d=152.
This code was found by Heurico 1.16 in 0.0147 seconds.