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

generates a code of length 50 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+136x^40+8x^42+248x^44+96x^46+389x^48+6448x^50+420x^52+96x^54+194x^56+8x^58+110x^60+32x^64+5x^68+1x^84

The gray image is a code over GF(2) with n=400, k=13 and d=160.
This code was found by Heurico 1.16 in 1.67 seconds.