The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  8  2  2  1  1  4  2  2  1  1  8  1  1  4  1
 0 12  0  0  0  0  0  0  0  0  8  4 12 12  8  0 12  4 12  4 12  8 12  0  0  4  4 12  4  8  8 12 12 12  8  8 12  0 12  0 12  0  8  0  0  4 12 12  8  8  8  4 12  0
 0  0 12  0  0  0  0  0  0  0 12  8  4 12  4  4  4  4  0  8 12 12  8  4  4  8  4  4  0 12 12  4  4  8  8  0 12  8 12  8  0  4  8  4  4  4  4  8 12  8  0 12  0  0
 0  0  0 12  0  0  8 12 12  4  4 12  8 12 12  0  8 12 12  4  4  4  0  4  0  8  8  8  4  0  4 12  0  0 12  8  4  4  4  0  8  8 12  8  0  0  0  0  4  8 12  0  8 12
 0  0  0  0 12  0 12 12  4  8  0  0  0  0  8  0 12  4 12  4  8  4  4 12 12 12  4  0  0 12  4  4  0  8  8 12  8 12  0  4  4  8  8  0  8  4  8  8 12  4  4  8  8  0
 0  0  0  0  0 12  4  8  4  4  0  0  0  0  4  4  0  4  8 12  4  8 12  4  0  8  4  4  4 12  0  0 12 12  0  8  8  4  8  4 12 12  8  8 12  4  0  4  4  4 12  8  8  4

generates a code of length 54 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+92x^45+169x^46+212x^47+249x^48+322x^49+560x^50+854x^51+1501x^52+2650x^53+3321x^54+2626x^55+1469x^56+834x^57+513x^58+302x^59+177x^60+170x^61+154x^62+86x^63+53x^64+28x^65+18x^66+12x^67+6x^68+4x^71+1x^82

The gray image is a code over GF(2) with n=432, k=14 and d=180.
This code was found by Heurico 1.16 in 20 seconds.