The generator matrix

 1  0  1  1  1  6  1  1  0  6  1  1  8  1  1  2  1  1  1  8  1  1  4  1  1  1 14  1  1 14  1 14  1  2  1  1  0  1 12  2  1  1  1 12 12  1 14  1  1  1 12  2 12  2
 0  1 11  6  1  1  8 11  1  1  6 13  1  8  5  1 10  3  9  1  6  8  1  9  2 15  1 11 12  1 13  1 13  1 15 12  1  7  1  1  4  8  9  1  1  3  1  5  6 15  1  0  1  8
 0  0 12  0  0  0  0  0  0  8  8 12  0  8  8  0  8  8  4  4 12  4 12 12  4 12  4  0 12  0 12  4  8  4  8  0 12 12  0  0 12  4  0 12  8  8  0  0 12  4  4  8  0  4
 0  0  0 12  0  0 12  8  4 12  8  0  8  8  0  4  4  4  4  8 12  4  4  8  8  4  4 12 12  4 12  0 12 12 12  8 12  4  8  8  4  0 12  4 12  8  0 12  8 12  0 12  4  0
 0  0  0  0  4  0  8  4  4 12  0  0  4  4  0  0  4 12  8  8  0 12  4  4  0  8 12  8  0  8  4  4  8  0  4  8  0  4  0 12 12  8 12  8 12  4 12  0 12  0  4  4 12  0
 0  0  0  0  0  8  8  8  8  0  8  8  0  8  8  0  8  0  0  0  8  0  8  0  0  8  0  0  0  8  0  0  8  0  8  8  0  0  8  0  0  8  8  8  0  0  8  8  8  8  8  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+132x^46+40x^47+522x^48+520x^49+1658x^50+2212x^51+4025x^52+4468x^53+5840x^54+4336x^55+4048x^56+2128x^57+1574x^58+580x^59+421x^60+52x^61+122x^62+51x^64+16x^66+17x^68+2x^70+2x^72+1x^76

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 11.3 seconds.