The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+62x^35+458x^36+1540x^37+2467x^38+3832x^39+4945x^40+6208x^41+4939x^42+4184x^43+2239x^44+1102x^45+505x^46+202x^47+34x^48+12x^49+25x^50+6x^51+3x^52+2x^53+2x^55

The gray image is a code over GF(2) with n=328, k=15 and d=140.
This code was found by Heurico 1.16 in 5.75 seconds.