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

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

Homogenous weight enumerator: w(x)=1x^0+136x^41+160x^42+304x^43+230x^44+422x^45+268x^46+306x^47+53x^48+76x^49+48x^50+28x^51+2x^52+6x^53+4x^54+2x^55+1x^56+1x^72

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 30.7 seconds.