The generator matrix

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

generates a code of length 54 over Z16 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+60x^49+225x^50+410x^51+563x^52+564x^53+488x^54+556x^55+554x^56+396x^57+200x^58+52x^59+7x^60+4x^61+4x^62+4x^63+2x^64+2x^66+2x^67+1x^80+1x^82

The gray image is a code over GF(2) with n=432, k=12 and d=196.
This code was found by Heurico 1.16 in 0.286 seconds.