The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  2  1  1  1  1  2  1  2  4  1  4  1
 0 12  0  0  0  4 12 12  8  8  0  0  4  4  4 12  0  4  4  8  4  8  0  4  4  4  0  0  4 12  4  8 12 12  4  8  4 12 12  0 12  8  4  4  0
 0  0 12  0  4  4  4  0  8  0  4 12  4  4  0  8  0 12  8  4 12  4  8 12  8  8  4  8  0  4 12  8  0 12  0  8  8  0 12  8  4 12  0  0  0
 0  0  0 12  4  8  4  4  0  4  4  0  0 12  4  8  0  0  0  4  8  8 12  4  8  4  8  0  4  8 12  0  8  4 12  4  0  0 12  8  0 12  8  4  0
 0  0  0  0  8  8  0  8  8  8  0  8  0  8  0  8  8  8  8  0  0  8  0  0  0  0  0  0  8  8  0  0  0  8  8  0  0  8  0  8  8  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+98x^40+8x^41+125x^42+128x^43+463x^44+496x^45+419x^46+128x^47+71x^48+8x^49+45x^50+30x^52+17x^54+6x^56+2x^58+2x^60+1x^76

The gray image is a code over GF(2) with n=360, k=11 and d=160.
This code was found by Heurico 1.16 in 0.123 seconds.