The generator matrix

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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+69x^46+24x^47+286x^48+124x^49+577x^50+444x^51+1461x^52+1420x^53+2794x^54+2140x^55+2727x^56+1396x^57+1416x^58+436x^59+551x^60+132x^61+221x^62+28x^63+72x^64+37x^66+19x^68+4x^70+1x^72+2x^74+1x^76+1x^80

The gray image is a code over GF(2) with n=440, k=14 and d=184.
This code was found by Heurico 1.16 in 4.84 seconds.