The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+146x^41+128x^42+198x^43+442x^44+244x^45+489x^46+176x^47+63x^48+90x^49+19x^50+38x^51+6x^52+3x^54+4x^55+1x^74

The gray image is a code over GF(2) with n=360, k=11 and d=164.
This code was found by Heurico 1.16 in 53.3 seconds.