The generator matrix

 1  0  1  1  1 14  1  1  0  1  2  1  1  6  1  1  1  8  1  1  4  1  1 14  8  1  1  6  1  1  1  1  1 12  1  2  0  8  1  1  1  2  1  1  1  1  1  1  8  1  4  4  1  1  1
 0  1 11  6  5  1 11  0  1  9  1 14  3  1  6  8 13  1  4 15  1  2 13  1  1  3  2  1  7  8  4  9  6  1  1  1  1  1 13 11  5  1  7 10  0  8 12 14  1  2 12  8 10  8  6
 0  0 12  0  0  0  0  4  4  4  4  4  0  8  4  8  4  8  4 12 12  8  0  4 12 12  4 12  4 12  4  8  0  8  0  4 12  0  8 12  4  4 12  4  4  4  0  4  0 12  4  8  0  0  0
 0  0  0 12  0  4  4  4 12  4  0  8  8  0  4 12  8 12  8 12  8  4  4  0  0 12  0  4  0  0  8  8  8  8 12  0 12 12  4  0  4  8  8  4  4  8  8  8  4  8  4 12  8  4  0
 0  0  0  0  8  0  0  0  0  8  0  8  8  8  8  0  8  0  8  8  0  0  8  8  8  8  0  8  0  0  0  8  0  0  0  0  8  0  8  0  0  0  8  8  8  0  0  8  0  0  8  8  0  0  8
 0  0  0  0  0  8  0  0  0  0  8  0  0  8  8  8  0  0  0  8  0  0  0  0  8  8  8  8  0  8  0  0  0  8  0  8  0  8  8  8  8  8  8  8  8  0  0  8  8  8  0  8  0  8  8
 0  0  0  0  0  0  8  0  8  8  8  0  8  0  0  0  8  0  8  0  0  8  8  8  8  8  0  0  8  0  8  0  8  0  8  0  8  0  0  0  0  0  0  8  8  8  8  0  8  8  8  8  0  0  0
 0  0  0  0  0  0  0  8  0  0  0  0  8  8  0  0  0  0  8  8  8  8  8  8  8  0  8  8  0  0  8  8  0  8  8  0  8  8  0  8  0  8  0  0  8  0  0  0  8  0  0  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+44x^45+117x^46+194x^47+398x^48+914x^49+1407x^50+3032x^51+4699x^52+7864x^53+8755x^54+10768x^55+8762x^56+7756x^57+4705x^58+3196x^59+1380x^60+772x^61+338x^62+206x^63+108x^64+50x^65+27x^66+12x^67+9x^68+8x^69+5x^70+2x^72+5x^74+1x^78+1x^80

The gray image is a code over GF(2) with n=440, k=16 and d=180.
This code was found by Heurico 1.16 in 41.7 seconds.