The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+205x^40+40x^41+364x^42+384x^43+742x^44+688x^45+718x^46+384x^47+341x^48+40x^49+130x^50+40x^52+2x^54+12x^56+2x^58+2x^60+1x^72

The gray image is a code over GF(2) with n=360, k=12 and d=160.
This code was found by Heurico 1.16 in 2.66 seconds.