The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^35+284x^36+636x^37+1312x^38+1958x^39+2489x^40+2904x^41+2617x^42+1958x^43+1185x^44+510x^45+239x^46+124x^47+38x^48+12x^49+23x^50+8x^51+3x^52+2x^53+1x^54+2x^55

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 1.94 seconds.