The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+188x^35+392x^36+936x^37+1164x^38+1882x^39+2296x^40+2746x^41+2372x^42+1974x^43+1033x^44+678x^45+332x^46+230x^47+82x^48+54x^49+4x^50+14x^51+3x^52+2x^53+1x^56

The gray image is a code over GF(2) with n=328, k=14 and d=140.
This code was found by Heurico 1.16 in 5.63 seconds.