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

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

Homogenous weight enumerator: w(x)=1x^0+202x^48+240x^49+562x^50+820x^51+1362x^52+1428x^53+2486x^54+2160x^55+2678x^56+1576x^57+1208x^58+676x^59+426x^60+212x^61+188x^62+56x^63+52x^64+30x^66+12x^68+6x^70+2x^72+1x^80

The gray image is a code over GF(2) with n=440, k=14 and d=192.
This code was found by Heurico 1.16 in 4.29 seconds.