The generator matrix

 1  0  1  1  1 14  1  4  1 10  1  1 14  1  1  0  1  1  1  1 14  1  1  1 12  1 10  1  1  8  6  1  1  1  1 10  1  1  0  1  8  1  1  8  1  1
 0  1  1  6  3  1 13  1  4  1 10 15  1  4  5  1  2 11  9 14  1 12 15 10  1  7  1  8  2  1  1 13 13  1  7  1  2 14  1  9  0  5  8  1  5  8
 0  0  2  0  8  8  0 14  6 14  6 10 12  4  6 12  8  6  4  6 10 14 12 12  6 12 10  0 10  8 10 14  2  0  0  8  4  4  2 12  2 10 10 12 14  0
 0  0  0 12  0  4  4 12  4  8  8  4 12  0  0  8  4 12 12  4  8  0 12  4  8  8  4  8  0 12 12  4  8  0 12  8  8  0  0  0 12 12  8  0 12 12

generates a code of length 46 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+94x^41+387x^42+814x^43+959x^44+1266x^45+1230x^46+1408x^47+887x^48+598x^49+298x^50+126x^51+48x^52+40x^53+27x^54+4x^55+1x^58+1x^60+2x^61+1x^62

The gray image is a code over GF(2) with n=368, k=13 and d=164.
This code was found by Heurico 1.16 in 0.637 seconds.