The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+51x^42+250x^43+264x^44+332x^45+273x^46+338x^47+258x^48+212x^49+39x^50+18x^51+4x^52+2x^54+2x^55+2x^58+1x^64+1x^70

The gray image is a code over GF(2) with n=368, k=11 and d=168.
This code was found by Heurico 1.16 in 0.0911 seconds.