The generator matrix

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

generates a code of length 37 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+308x^32+472x^33+1350x^34+1632x^35+3273x^36+2464x^37+3240x^38+1648x^39+1191x^40+392x^41+280x^42+48x^43+51x^44+24x^46+8x^48+2x^50

The gray image is a code over GF(2) with n=296, k=14 and d=128.
This code was found by Heurico 1.16 in 1.61 seconds.