The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  2  8  1  2  1  8  1  2  1 12  1  1  4  1  1  2  1  1  1  1  1  1  2  1  8  1  1 12  2  0  2  1
 0  2  0  6  0  6  8  2  4  6  4 14  4 12 10  2  0  6 14  2  8  6 14  2 14  6  4  2  8  2  0  2  4  6  2 12  6  6  4 12 14 10 10  4 10  6  2 14 12  2  8  4  8 14
 0  0 12  0  0  0 12  0 12  0  4  0  8  0  0  0  8  4  0  8  4  4  4 12  4 12  8  4  0  8  8  0  4  4 12 12  8  8  0  4  4  0  4  8  0  8  4  0  4 12  4  8 12  0
 0  0  0 12  0  0  0  4  8  4  8  8  8  8  4  0 12  4  0  4 12  0  8 12  4  8 12  0  4  4  8  0 12  0 12  8  0 12 12 12  0  8 12  0  4  4  0  0  8 12 12  0  8  4
 0  0  0  0 12  0  4  8  0  4  4 12  8  4 12 12  4  0 12 12 12 12  8  4  4  4  8  8  8  0  8  8  0  0  4  8  0 12 12  0  4  4 12  8  0 12  0  4  0  0  0 12 12  0
 0  0  0  0  0  8  0  8  8  0  8  8  8  8  8  0  0  0  0  8  8  8  0  8  8  8  0  8  8  8  8  8  8  0  0  0  8  0  8  0  8  8  0  8  8  8  8  0  0  8  8  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+127x^46+60x^47+441x^48+344x^49+834x^50+1096x^51+1859x^52+2100x^53+2821x^54+2076x^55+1823x^56+1088x^57+751x^58+336x^59+340x^60+52x^61+112x^62+16x^63+67x^64+27x^66+12x^68+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 4.77 seconds.