The generator matrix

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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+30x^45+99x^46+238x^47+321x^48+670x^49+935x^50+1548x^51+2074x^52+4082x^53+3790x^54+5400x^55+3596x^56+3828x^57+2305x^58+1828x^59+820x^60+538x^61+248x^62+186x^63+88x^64+62x^65+37x^66+16x^67+10x^68+6x^69+6x^70+2x^72+3x^74+1x^78

The gray image is a code over GF(2) with n=440, k=15 and d=180.
This code was found by Heurico 1.16 in 17.8 seconds.