The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+1x^46+22x^47+1x^48+6x^49+1x^50

The gray image is a code over GF(2) with n=368, k=5 and d=184.
This code was found by Heurico 1.16 in 0.0325 seconds.