The generator matrix

 1  0  1  1  1 14  1  1  6  1  4  1  1  1  6  1  1  6  1  0  1  1  4  1  1  1  1  1  1  1  1  1 12  1  0  1  1 10  1  1  1  1  4  2  1
 0  1 11  6  5  1 11  0  1 14  1  9  3  6  1  7  4  1 15  1  4  6  1  7 15  7 13  5  5  1 13  8  1 10  2 11 10  1  1 10  2  0  8  0 13
 0  0 12  0  0  0  0 12  4  4 12  8  4  8  8 12  4 12 12  4  8 12  8  8  4  0  0 12 12  4  8 12  8  8  4  8 12  0  8  0 12 12  4  0  8
 0  0  0 12  8  4  4 12  4  8  0  0  4  8  8  8  0  8  4  4 12 12  4  4 12  8  4 12  8  0  4  8  0  0 12  8  8  0 12  0  4  0  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+216x^41+407x^42+656x^43+483x^44+680x^45+545x^46+490x^47+313x^48+216x^49+35x^50+30x^51+1x^52+8x^53+3x^54+6x^55+1x^56+2x^58+2x^59+1x^64

The gray image is a code over GF(2) with n=360, k=12 and d=164.
This code was found by Heurico 1.16 in 48.2 seconds.