The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  1  0  1  1  1  2 12  2  8  2  4  2  2  2  2  1  1  1  1  1  1  1  1  1
 0  2 12  6  8 14  4 10  0  6 12 10  6  8  2 14  4  2 10  2 14  2  2  2  0 12  8  4  0 12  8  4  6 10 14  2  0

generates a code of length 37 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+6x^36+108x^37+6x^38+1x^40+4x^41+1x^42+1x^50

The gray image is a code over GF(2) with n=296, k=7 and d=144.
This code was found by Heurico 1.16 in 0.0149 seconds.