The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+71x^34+196x^35+428x^36+656x^37+1437x^38+1552x^39+2644x^40+2404x^41+2786x^42+1568x^43+1380x^44+556x^45+340x^46+192x^47+87x^48+28x^49+35x^50+12x^51+4x^52+4x^53+3x^54

The gray image is a code over GF(2) with n=328, k=14 and d=136.
This code was found by Heurico 1.16 in 2.91 seconds.