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

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

Homogenous weight enumerator: w(x)=1x^0+197x^48+300x^49+602x^50+808x^51+1371x^52+1572x^53+2540x^54+1928x^55+2421x^56+1428x^57+1326x^58+824x^59+480x^60+220x^61+174x^62+88x^63+60x^64+24x^66+13x^68+6x^70+1x^72

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 4.35 seconds.