The generator matrix

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

generates a code of length 38 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+22x^36+212x^38+15x^40+4x^42+2x^56

The gray image is a code over GF(2) with n=304, k=8 and d=144.
This code was found by Heurico 1.16 in 0.0273 seconds.