The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+87x^36+268x^37+503x^38+896x^39+1478x^40+2576x^41+4484x^42+7200x^43+9886x^44+10876x^45+9731x^46+7256x^47+4539x^48+2612x^49+1554x^50+784x^51+361x^52+232x^53+99x^54+56x^55+30x^56+12x^57+10x^58+2x^60+3x^62

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 53.8 seconds.