The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+41x^32+21x^34+32x^35+144x^36+576x^37+144x^38+32x^39+16x^42+6x^48+10x^50+1x^66

The gray image is a code over GF(2) with n=296, k=10 and d=128.
This code was found by Heurico 1.16 in 0.0341 seconds.