The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+138x^32+482x^33+1468x^34+1854x^35+3125x^36+2588x^37+2907x^38+1772x^39+1322x^40+394x^41+218x^42+54x^43+21x^44+24x^45+15x^46+1x^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 1.28 seconds.