The generator matrix

 1  0  1  1  1 10  1  1 14  1  1 12  1  1 12  1  1 14  1  1 12  1  1  8  1  6  1  1  1  1  1 12  1  1  4  8 14
 0  1  1  0  3  1  0  9  1  8  1  1  1  6  1  6 15  1 11  2  1  2 11  1 13  1  9  8  8  4  9  1  5  8 12  1  1
 0  0  2  0 14  8  6  4 14  6 12 10 10  2 14  8  0  8 14 14  2 14 14  8  4  2 14 12  8  4  8  4  4  4  2  2 12
 0  0  0  2 14 14  6 10  2  8  0  4  2  2  6 14  4  4  0  8 10 12  2 12 14 12 14 12 14  6  0 14  4  8 12 14  0

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

Homogenous weight enumerator: w(x)=1x^0+219x^32+560x^33+1312x^34+1880x^35+2694x^36+3120x^37+2804x^38+1840x^39+1164x^40+464x^41+176x^42+56x^43+62x^44+16x^45+12x^46+4x^48

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.