The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+49x^36+158x^37+224x^38+544x^39+981x^40+2144x^41+4519x^42+7530x^43+10563x^44+12064x^45+10787x^46+7496x^47+4405x^48+2156x^49+926x^50+500x^51+232x^52+114x^53+49x^54+56x^55+24x^56+4x^57+6x^58+2x^59+1x^64+1x^66

The gray image is a code over GF(2) with n=360, k=16 and d=144.
This code was found by Heurico 1.16 in 32.3 seconds.