The generator matrix

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

generates a code of length 54 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+215x^48+804x^49+2016x^50+2560x^51+3998x^52+4384x^53+5292x^54+4280x^55+3682x^56+2568x^57+1768x^58+664x^59+330x^60+72x^61+62x^62+16x^63+26x^64+12x^65+12x^66+4x^68+2x^70

The gray image is a code over GF(2) with n=432, k=15 and d=192.
This code was found by Heurico 1.16 in 8.19 seconds.