The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+296x^33+230x^34+544x^35+549x^36+976x^37+584x^38+448x^39+118x^40+216x^41+38x^42+64x^43+3x^44+16x^45+12x^46+1x^56

The gray image is a code over GF(2) with n=296, k=12 and d=132.
This code was found by Heurico 1.16 in 23.5 seconds.