The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+210x^41+797x^42+1576x^43+2051x^44+2362x^45+2624x^46+2446x^47+1967x^48+1228x^49+616x^50+312x^51+91x^52+38x^53+32x^54+18x^55+10x^56+2x^57+3x^58

The gray image is a code over GF(2) with n=368, k=14 and d=164.
This code was found by Heurico 1.16 in 1.84 seconds.