The generator matrix

 1  0  1  1  1 14  1  1  6  1  1  2  1  1  8  1  1  4  1  1 12  1  1 10  1  0  1  1  8  6  1  1  1  1  1 12  2
 0  1 11 14  5  1  8 13  1 12  9  1  6  3  1 10 15  1  4  7  1  2  1  1  0  0  6  4  1  1  5  7  2  1  3  1  1
 0  0 12  4  8 12  4 12  8  8  0  4  0  0  4  8  8 12  4 12  0  4 12  8  8  4  8 12 12  0  0  4 12  4  8  8 12

generates a code of length 37 over Z16 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+282x^35+84x^36+432x^37+16x^38+84x^39+24x^40+96x^41+2x^43+3x^48

The gray image is a code over GF(2) with n=296, k=10 and d=140.
This code was found by Heurico 1.16 in 1.94 seconds.