The generator matrix

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

generates a code of length 54 over Z16 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+150x^47+352x^48+878x^49+1589x^50+2668x^51+3870x^52+4438x^53+4885x^54+4712x^55+3821x^56+2570x^57+1450x^58+748x^59+313x^60+162x^61+66x^62+34x^63+22x^64+16x^65+9x^66+8x^67+5x^68+1x^70

The gray image is a code over GF(2) with n=432, k=15 and d=188.
This code was found by Heurico 1.16 in 17.1 seconds.