The generator matrix

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

generates a code of length 54 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+25x^46+76x^47+139x^48+550x^49+570x^50+1492x^51+1679x^52+2540x^53+2390x^54+2480x^55+1666x^56+1432x^57+549x^58+542x^59+78x^60+84x^61+34x^62+10x^63+13x^64+2x^65+13x^66+6x^67+6x^68+3x^70+2x^71+1x^72+1x^76

The gray image is a code over GF(2) with n=432, k=14 and d=184.
This code was found by Heurico 1.16 in 2.85 seconds.