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

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

Homogenous weight enumerator: w(x)=1x^0+229x^46+264x^47+788x^48+944x^49+1725x^50+2240x^51+3673x^52+4164x^53+4754x^54+4244x^55+3589x^56+2432x^57+1644x^58+840x^59+659x^60+196x^61+213x^62+28x^63+84x^64+8x^65+43x^66+4x^68+2x^72

The gray image is a code over GF(2) with n=432, k=15 and d=184.
This code was found by Heurico 1.16 in 16.6 seconds.