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

generates a code of length 38 over Z16 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+84x^35+22x^36+268x^37+340x^38+208x^39+16x^40+48x^41+4x^42+28x^43+4x^45+1x^72

The gray image is a code over GF(2) with n=304, k=10 and d=140.
This code was found by Heurico 1.16 in 0.057 seconds.