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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+257x^46+566x^48+16x^49+860x^50+236x^51+1583x^52+1508x^53+3956x^54+4372x^55+6032x^56+4396x^57+4106x^58+1524x^59+1512x^60+220x^61+779x^62+12x^63+461x^64+4x^65+266x^66+81x^68+16x^70+3x^72+1x^88

The gray image is a code over GF(2) with n=448, k=15 and d=184.
This code was found by Heurico 1.16 in 93 seconds.