The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  1  1  1  1  2 12  1  1  1  2  1  1  1  1  1  2  1  1  1  0 12  2  0  1  1  1 12  2  1  1  1  8
 0  2 12  6  0  6 12 10  0  6 12 10 10  4  6  0  8 14 12  6  2 10 12 10  4  6  6 10  2 10 12  0  6 12 10  4 10  2 10  0  4  6  2  2  6  2  2  2 10  2  6 12  2 12  0
 0  0  8  0  0  0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  8  8  0  8  0  0  0  8  0  8  8  0  8  8  8  8  8  8  0  0  0  0  0  8  8  0  0  8  0  8  8  0  0  0  8
 0  0  0  8  0  0  0  0  0  8  8  0  0  8  8  8  8  8  8  0  0  8  8  0  8  0  0  0  0  8  0  0  8  8  0  8  0  8  8  8  0  8  8  8  0  8  8  8  0  8  8  8  8  0  8
 0  0  0  0  8  0  0  0  8  0  0  8  8  0  8  0  8  8  0  8  8  0  0  8  0  8  0  8  8  0  8  0  8  0  0  8  0  0  8  0  0  0  0  8  8  8  0  0  8  0  8  8  0  0  8
 0  0  0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  8  8  0  8  8  0  0  8  0  0  8  8  0  0  8  0  0  0  0  0  8  8  8  8  0  0  8  8  8  8  0  0  0  0  0  8  0  8
 0  0  0  0  0  0  8  0  8  0  8  0  0  0  8  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  0  8  8  8  8  0  0  0  8  0  8  0  0  0  8  0  0  0  8  8  8  0  8  0  0
 0  0  0  0  0  0  0  8  0  0  8  8  0  8  8  8  8  8  0  8  8  0  0  0  8  0  8  0  8  8  8  8  0  0  0  0  0  0  0  8  0  8  0  8  8  0  8  0  0  8  8  0  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+190x^48+80x^49+270x^50+192x^51+830x^52+832x^53+1238x^54+976x^55+1377x^56+592x^57+746x^58+352x^59+349x^60+32x^61+50x^62+16x^63+50x^64+11x^68+5x^72+1x^76+1x^80+1x^84

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 9.53 seconds.