The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  6  1  1  0  1 12  1  1 10  1  1  1  1  0  1 12  1  1  1  6  1  1  1  1  1  0 10  1  1 12  6  1  1  6  1 12  1  1  1  4 12
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  6  5  1  9  1 10 15  1 12  0  3  6  1  5  1 12  5 10  1 15  9  6  0  3  1  1 12  5  1  1  0  9  1 12  1 10  0 12 12  1
 0  0  8  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  0  8  8  0  8  8  0  8  8  0  0  8  0  8  0  0  8  0  8  0  8  0  8  0  8  0  8  8  0  8  8  8  0  8  0  8  8
 0  0  0  8  0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  0  8  8  8  8  8  8  8  0  0  0  8  8  8  8  0  8  0  0  0  8  0  0  0  8  0  0  0  0  8  0  8  0  8  0  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  0  8  8  8  8  0  0  8  8  8  8  0  8  8  0  0  8  8  8  8  0  8  0  8  8  0  8  0  0  8  0  0  0  8  8  0  8  8  8  8
 0  0  0  0  0  8  0  0  8  0  8  8  0  0  8  8  8  0  0  8  8  8  0  8  0  0  0  0  8  0  0  8  8  8  8  8  0  8  0  0  8  8  0  0  0  0  8  0  0  0  8  0  8  8  0
 0  0  0  0  0  0  8  0  8  0  0  0  8  0  8  0  8  8  8  8  8  8  8  0  0  0  8  0  8  8  8  0  0  8  8  0  8  8  8  8  0  0  0  0  0  8  0  0  0  0  8  8  0  0  0
 0  0  0  0  0  0  0  8  8  0  8  0  0  8  8  8  8  0  8  0  8  0  8  8  8  0  0  8  0  8  8  0  8  8  8  8  0  0  8  0  8  8  8  8  0  8  0  0  8  8  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+191x^48+116x^49+356x^50+748x^51+1167x^52+2228x^53+1852x^54+3052x^55+1989x^56+2172x^57+1052x^58+804x^59+417x^60+92x^61+68x^62+4x^63+52x^64+13x^68+7x^72+3x^76

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 94.3 seconds.