The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  2  4  1  0  1  2  4  2  4  4
 0 12  0 12  0 12  0  4  8 12  0 12 12  0  8  4  0  8 12  4 12  4  0 12  0  8  8 12 12  8  4  0 12 12 12 12  0
 0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  0  0  0  0  8  0  8  0  8  0  0  0  0  8  8  8  8  0  8  8  0  8
 0  0  0  8  0  0  0  8  0  0  0  8  0  0  0  8  8  8  0  8  8  0  0  0  8  8  0  8  8  8  8  8  0  8  0  0  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  8  8  0  0  8  8  8  0  8  0  0  8  8  0  8  8  0  0  0  8  8  8
 0  0  0  0  0  8  0  8  0  8  8  0  0  8  8  0  0  8  0  0  0  8  8  0  0  8  0  8  0  0  8  0  8  8  8  8  0
 0  0  0  0  0  0  8  0  8  0  8  0  0  0  8  0  0  0  8  8  8  8  8  8  8  8  8  0  8  8  0  8  0  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+137x^32+200x^34+709x^36+624x^38+285x^40+72x^42+10x^44+8x^48+1x^52+1x^56

The gray image is a code over GF(2) with n=296, k=11 and d=128.
This code was found by Heurico 1.16 in 0.0866 seconds.