The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  0  1  1  1  6  1  1 10  1  1 12  1  1  0  1  1  6  1  1 12 10  1  1  6 12  1  1 10  1  1  1 14  1  1  0 12  1  1  1  6  0  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  1  3  6  5  1 12  9  1 10 15  1  0  9  1  6  3  1 15 12  1  1 10  5  1  1  3  9  1  0  5 10  1  5 15  1  1 12  3  3  1  1  0
 0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  0  8  8  8  8  8  0  8  0  0  0  8  8  8  8  0  8  8  0  0  0  8  0  8  8  0  0  8  8  8  0  8  0  8  8  0  8  0  8  0
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  0  8  8  0  0  0  0  0  8  8  8  8  8  8  0  0  0  0  0  8  0  8  8  8  8  0  8  0  0  0  0  0  0  8  0  8  8  8  8  0
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  8  0  8  0  8  8  8  0  0  0  8  0  0  8  0  0  0  8  0  8  8  8  8  0  8  8  0  0  0  0  8  0  8  0  0  0  0
 0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  8  0  8  0  8  0  8  8  8  0  0  0  8  8  0  8  0  8  0  8  0  0  0  0  0  0  8  8  0  8  8  8  0  0  0  0  8  8  8  0
 0  0  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  8  8  0  0  8  0  0  0  0  8  0  8  0  0  0  8  0  0  8  8  0  8  0  8  8  0  8  0  8  8  8  8  0  0  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+20x^48+72x^49+162x^50+440x^51+584x^52+1080x^53+1042x^54+1424x^55+1033x^56+1080x^57+566x^58+440x^59+143x^60+72x^61+14x^62+4x^64+3x^66+5x^68+3x^70+2x^72+1x^74+1x^78

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 0.751 seconds.