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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+52x^40+96x^42+32x^43+81x^44+480x^45+584x^46+480x^47+69x^48+32x^49+80x^50+45x^52+8x^54+6x^56+1x^60+1x^84

The gray image is a code over GF(2) with n=368, k=11 and d=160.
This code was found by Heurico 1.16 in 0.128 seconds.