The generator matrix

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

generates a code of length 53 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+288x^46+1440x^47+3489x^48+6730x^49+10120x^50+14606x^51+18494x^52+20280x^53+18931x^54+15380x^55+10219x^56+6042x^57+2888x^58+1400x^59+528x^60+140x^61+55x^62+20x^63+5x^64+8x^65+4x^66+2x^67+2x^74

The gray image is a code over GF(2) with n=424, k=17 and d=184.
This code was found by Heurico 1.16 in 117 seconds.