The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+69x^36+302x^37+562x^38+1028x^39+1520x^40+2736x^41+4736x^42+6488x^43+10670x^44+9588x^45+10167x^46+6576x^47+5044x^48+2744x^49+1462x^50+936x^51+459x^52+238x^53+86x^54+76x^55+26x^56+8x^57+10x^58+2x^60+1x^62+1x^64

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 42 seconds.