The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+100x^35+612x^36+1710x^37+2368x^38+4170x^39+4410x^40+6152x^41+4442x^42+4250x^43+2257x^44+1398x^45+524x^46+242x^47+87x^48+16x^49+18x^50+6x^51+1x^52+4x^53

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 6.44 seconds.