The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+32x^48+234x^49+388x^50+762x^51+782x^52+1326x^53+1212x^54+1300x^55+764x^56+764x^57+362x^58+204x^59+17x^60+8x^61+11x^62+4x^63+2x^64+2x^65+9x^66+2x^67+1x^68+2x^69+1x^70+1x^72+1x^74

The gray image is a code over GF(2) with n=432, k=13 and d=192.
This code was found by Heurico 1.16 in 0.778 seconds.