The generator matrix

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

generates a code of length 54 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+22x^45+224x^46+412x^47+909x^48+1504x^49+3259x^50+4358x^51+8527x^52+8060x^53+11126x^54+8060x^55+8369x^56+4400x^57+3394x^58+1424x^59+824x^60+318x^61+150x^62+72x^63+48x^64+32x^65+17x^66+10x^67+9x^68+4x^70+1x^72+2x^74

The gray image is a code over GF(2) with n=432, k=16 and d=180.
This code was found by Heurico 1.16 in 41.3 seconds.