The generator matrix

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

generates a code of length 37 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+72x^33+200x^34+200x^35+451x^36+286x^37+460x^38+122x^39+122x^40+52x^41+40x^42+28x^43+1x^44+6x^45+4x^46+2x^47+1x^56

The gray image is a code over GF(2) with n=296, k=11 and d=132.
This code was found by Heurico 1.16 in 0.139 seconds.