The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^35+318x^36+594x^37+1256x^38+1840x^39+2883x^40+2698x^41+2655x^42+1930x^43+1275x^44+456x^45+237x^46+68x^47+60x^48+26x^49+9x^50+8x^51+7x^52+2x^53+3x^54

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 1.81 seconds.