The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+24x^45+183x^46+400x^47+890x^48+1562x^49+2967x^50+4742x^51+7102x^52+9568x^53+10509x^54+9948x^55+7120x^56+4590x^57+3019x^58+1468x^59+707x^60+358x^61+198x^62+76x^63+48x^64+24x^65+18x^66+6x^67+3x^68+2x^69+2x^70+1x^72

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 38.4 seconds.