The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^36+122x^37+250x^38+444x^39+746x^40+1284x^41+2184x^42+3458x^43+4983x^44+5710x^45+4857x^46+3648x^47+2165x^48+1186x^49+748x^50+348x^51+238x^52+144x^53+76x^54+36x^55+24x^56+2x^57+12x^58+2x^59+3x^60+1x^62

The gray image is a code over GF(2) with n=360, k=15 and d=144.
This code was found by Heurico 1.16 in 13.5 seconds.