The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+570x^48+1722x^49+3863x^50+5332x^51+7915x^52+8840x^53+9476x^54+8680x^55+8031x^56+5196x^57+3344x^58+1476x^59+761x^60+200x^61+64x^62+32x^63+18x^64+10x^65+5x^66

The gray image is a code over GF(2) with n=432, k=16 and d=192.
This code was found by Heurico 1.16 in 32.3 seconds.