The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2 12  0  1  1  2  1  1 12  0  2  1  1  2  8  8  1  2  0  0 12  1  1  4  1
 0  2  0  2  0  8  2 10  8  2 12 14  0 10  4  6  2  2  2  0  2  2 10  4  8  2  0 10 12 14  8  4  4  0  2  2  2  4 12 12  8
 0  0  2  2 12 14  6 12  0  2 10 12  4 14 14  8  6  6  0  0  8  8 10 14  2 10  2  4  4  2  2  2  8  2  0 14 10  0 12 12  0
 0  0  0  4  0  0 12  8  4  8 12 12 12  8  4 12 12  0  0  8  8 12  4  8  8 12 12  4  4  8 12  0 12  4 12 12  4  8 12 12  8
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  0  8  8  8  8  0  8  8  8  8  0  0  0  0  8  0  0  0  8  0  8  8  8  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+272x^36+392x^37+723x^38+944x^39+1175x^40+1134x^41+1258x^42+872x^43+659x^44+312x^45+206x^46+98x^47+32x^48+14x^49+18x^50+6x^51+5x^52+4x^53+3x^54+2x^55

The gray image is a code over GF(2) with n=328, k=13 and d=140.
This code was found by Heurico 1.16 in 0.822 seconds.