The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1  0  1  1  6  2  1  2  2  2  1  1  1  0  1  8 12  1
 0  1  3  6  5  1 15 12  1 10  9  1  0  3  1  6  5  1 12  3  1  6  5  1  0 10 12  6  4  0 10 12  2  8  1  1  6
 0  0  8  0  0  0  0  8  8  8  8  8  0  0  0  0  0  0  8  8  8  8  8  8  0  8  0  8  8  8  0  0  0  8  8  0  0
 0  0  0  8  0  8  8  8  8  0  8  0  8  0  8  0  8  0  0  8  0  8  0  8  0  0  8  8  0  8  8  0  0  8  8  0  8
 0  0  0  0  8  0  8  8  8  8  0  8  0  8  0  0  8  0  8  0  8  8  0  8  8  0  8  0  0  8  8  0  8  0  0  0  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+238x^34+128x^35+461x^36+248x^37+504x^38+120x^39+176x^40+64x^41+23x^42+8x^43+1x^44+2x^46+1x^48+1x^66

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 0.0444 seconds.