The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  4  2  2  4  0  4  4  2  4  1  1  1  4  2  1  2  4  1  1
 0 12  0  0  0  0  0  0  0  0  8  4 12 12  8  0 12 12  4 12  4  0 12  4  4  4  8  4 12  4  8  8 12  4  4  8  0  8 12  0  4  8  4  4  0  0  8 12 12  8  4 12  8  0  4
 0  0 12  0  0  0  0  0  0  0 12  8  4 12  4  4  4  0  4  8  8 12  4  0 12  4  4  8  4  0  4  8 12  0  4  0  4  4  8  8 12  4  4  0 12  8  8  8 12  8 12  0 12  0  0
 0  0  0 12  0  0  8 12 12  4  4 12  8 12 12  0  8  8  0 12 12  4  4  4  8  4 12  0 12  0  8  0  4  8  8  0  8  0  0  4  0 12  4  0 12  4  4  4  4  0 12  4 12  8  0
 0  0  0  0 12  0 12 12  4  8  0  0  0  0  8  0 12  4  4  4  0  4  4 12  8  4  4  4  8  0  4  0  8  0  4  4  8 12  4  8  0  4  0  8  0 12  4  4 12  8  8 12  0 12  8
 0  0  0  0  0 12  4  8  4  4  0  0  0  0  4  4  0 12  4  8  4  8  0  4 12  4 12  0  4  4 12  8  8 12  4  8 12  4  4  0 12  8  4  0  4 12 12  0  4 12  0  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+170x^46+8x^47+430x^48+84x^49+684x^50+356x^51+1383x^52+1564x^53+2534x^54+2116x^55+2430x^56+1548x^57+1426x^58+396x^59+602x^60+68x^61+288x^62+4x^63+178x^64+74x^66+31x^68+8x^70+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 6.04 seconds.