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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+70x^45+136x^46+202x^47+286x^48+424x^49+599x^50+870x^51+1459x^52+2426x^53+3321x^54+4252x^55+4654x^56+4200x^57+3540x^58+2320x^59+1506x^60+978x^61+476x^62+358x^63+232x^64+176x^65+105x^66+58x^67+49x^68+46x^69+11x^70+4x^71+2x^72+4x^74+2x^76+1x^80

The gray image is a code over GF(2) with n=448, k=15 and d=180.
This code was found by Heurico 1.16 in 22.6 seconds.