The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  2  1  1  0  1  1  8  1  1  2  1  1 12  1  1  2  1  4  1  1  2  2  1  1  1  1  1 12  2  1  1  0  1  1  1
 0  2  0  6  0 14 10  8  6  8  2  8  0  8  6  2  4  6  2  6 14  6 12  2 12 10  2 10  4  2  6  8  2 14  4  2  6  2 14 10 14  2  0  6  4  2 12  2 10  0  0  8  4  0  0
 0  0 12  0  0  0  0  4  4  8  4  4  8 12  4  4  4  0  4  0  8  8  0  8  8  4  0  0  0  0  0  4 12  8 12  4 12 12 12  4  8  0  8 12  8  4  8 12  4  0  4  8  0  8  8
 0  0  0 12  0  8 12  0 12  4 12 12  4 12  0  8 12  0  8  4  4  0 12  4  8  4  8  0  0 12  4  4  0  8  8  8 12 12 12  8  0  8  0  4 12  0  4  4  0  4  8  8  4  0  8
 0  0  0  0 12 12  4 12  8  0 12  4 12  8 12  0 12  8 12  4  0  0 12 12  8  4 12  4 12  8  0  8 12 12  4  0  4  4 12 12  4  4  4  8  0 12  4  4  4  4  4  4  8  0  8

generates a code of length 55 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+69x^48+158x^49+218x^50+436x^51+601x^52+900x^53+1169x^54+1180x^55+1197x^56+864x^57+575x^58+404x^59+178x^60+92x^61+44x^62+38x^63+27x^64+10x^65+4x^66+4x^67+7x^68+8x^69+5x^70+2x^71+1x^82

The gray image is a code over GF(2) with n=440, k=13 and d=192.
This code was found by Heurico 1.16 in 1.24 seconds.