The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^35+156x^36+422x^37+571x^38+1008x^39+1242x^40+1440x^41+1243x^42+958x^43+401x^44+342x^45+153x^46+76x^47+53x^48+36x^49+17x^50+6x^51+2x^52+1x^60

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 0.756 seconds.