The generator matrix

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

generates a code of length 54 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+95x^46+360x^47+853x^48+1518x^49+3076x^50+4934x^51+7059x^52+9686x^53+10415x^54+9566x^55+7555x^56+4828x^57+2793x^58+1438x^59+719x^60+318x^61+155x^62+98x^63+32x^64+18x^65+9x^66+4x^67+4x^68+1x^70+1x^72

The gray image is a code over GF(2) with n=432, k=16 and d=184.
This code was found by Heurico 1.16 in 38.2 seconds.