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

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

Homogenous weight enumerator: w(x)=1x^0+113x^40+120x^44+1536x^46+226x^48+8x^52+43x^56+1x^80

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 6.89 seconds.