The generator matrix

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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+74x^47+179x^48+370x^49+489x^50+990x^51+954x^52+2130x^53+1419x^54+3106x^55+1591x^56+2306x^57+899x^58+830x^59+407x^60+278x^61+120x^62+100x^63+55x^64+28x^65+16x^66+20x^67+11x^68+8x^69+2x^72+1x^78

The gray image is a code over GF(2) with n=440, k=14 and d=188.
This code was found by Heurico 1.16 in 5.14 seconds.