The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  1  2  0  1  2  4  1  8  1  1  1  2  1  2  1  1
 0  2  0  2  0  0  6 14  4  4 10  6  8  2 12  2 12 12 14 10  2 14  4  8 12 14  2 14  4  2 14 10 14  4  6 10  2
 0  0  2  2 12  6  6  4  4  2  6  0  0  6 14  4  0  8  2 14 10 10  2  2 14  4 12  0  2  8  8  2 12  4 14 12  4
 0  0  0  8  0  0  8  0  0  0  8  0  0  8  0  0  8  8  0  8  8  0  0  8  8  8  0  8  8  8  8  0  0  8  8  8  0
 0  0  0  0  8  0  8  0  8  8  0  8  0  8  8  8  8  8  0  0  8  8  0  8  0  8  8  0  0  8  8  0  8  8  0  8  0
 0  0  0  0  0  8  0  8  8  0  8  8  8  8  8  0  0  8  0  8  0  0  0  0  0  8  0  0  8  0  8  0  8  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+298x^32+268x^33+550x^34+828x^35+1258x^36+1928x^37+1174x^38+808x^39+529x^40+236x^41+194x^42+28x^43+78x^44+2x^46+11x^48+1x^56

The gray image is a code over GF(2) with n=296, k=13 and d=128.
This code was found by Heurico 1.16 in 20.4 seconds.