The generator matrix

 1  0  1  1  6  1  1  1  6  1 12  1  8  1  1 12  1  1  1  1  1  8  1  0 10  2  1  1  1  1  0  1  1  1  6  4  1  8  2  1
 0  1  1  6  1  3  5  4  1  2  1  7  1  8 11  1 13  8  9  4 11  1 12  1  1 10 15  9 14  1  2  3 14 15  1  2 15  1 14  0
 0  0  2  0  0  8  8 10  6  2  6  2 12 10 12 10 12  4 14 12 10 12 14  6 14  6 10 10  4 12  2  6 10  8  8 10  8  0  2  0
 0  0  0  8  0  8  0  0  8  0  0  8  8  8  8  8  0  8  8  0  0  8  8  0  0  8  8  8  0  8  8  0  0  8  0  0  0  8  0  0
 0  0  0  0  8  0  8  0  0  8  0  0  8  8  8  8  0  8  8  8  8  0  0  8  0  8  8  0  0  0  0  8  0  8  0  8  8  0  8  0

generates a code of length 40 over Z16 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+92x^35+387x^36+644x^37+1186x^38+1192x^39+1504x^40+1102x^41+991x^42+504x^43+271x^44+148x^45+120x^46+20x^47+13x^48+10x^49+7x^50

The gray image is a code over GF(2) with n=320, k=13 and d=140.
This code was found by Heurico 1.16 in 0.504 seconds.