The generator matrix

 1  0  1  1  1 14  1  1  0 14  1  1  1  0  1  2  1  1  8  1  1  1  8  1  1  1  6  1 14  1  1  1  2  1  8  1 10  1  2  1  1  1 12 14  1  1  1  1  1 12  1  2  1  2  1
 0  1 11  6  1  1  8  3  1  1 14  9  6  1  3  1 13  0  1  4  9 10  1  5  0 11  1  2  1 15  5  8  1  9  1 12  1 15  1 11  6  0  1  1  4  4  5  3 14  1  1  1  1  1  8
 0  0 12  0  0  0  0  8 12  4  4  4 12 12  0  4  8 12  8  4  4  0  8  4  0  0  8 12 12  8  0 12  0 12  4  0  4  8  4  0  0  8  0  4  8  8  4 12  4 12  8 12 12 12  8
 0  0  0 12  0  0  8  8  8  8  0  8  8 12 12 12 12  4 12 12  4  4  4 12 12  0  0  4 12  4  8  0  8  8  8  4  8 12  8  0 12  8  8  4 12  8  8  4  4  0  0  8 12  0  8
 0  0  0  0  4 12 12  8  4  0  0  4  4  8 12  4  0  8  4 12  0  4  0  8  4 12  0  4  4  4  8 12  4  8  0  4 12  0  8  8  8 12  0  8  8  0 12  8  4  8 12  4 12  4  4

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

Homogenous weight enumerator: w(x)=1x^0+37x^48+152x^49+359x^50+832x^51+1264x^52+2062x^53+2221x^54+2688x^55+2193x^56+2022x^57+1217x^58+774x^59+314x^60+126x^61+27x^62+22x^63+24x^64+18x^65+10x^66+2x^67+6x^68+4x^69+4x^70+2x^71+1x^72+2x^74

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 2.99 seconds.