The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+56x^41+73x^42+154x^43+135x^44+464x^45+381x^46+444x^47+114x^48+102x^49+39x^50+24x^51+5x^52+12x^53+15x^54+14x^55+6x^57+4x^58+2x^59+2x^63+1x^72

The gray image is a code over GF(2) with n=368, k=11 and d=164.
This code was found by Heurico 1.16 in 29.7 seconds.