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

generates a code of length 50 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+40x^42+32x^43+67x^44+64x^45+66x^46+160x^47+198x^48+1280x^49+317x^50+1280x^51+182x^52+160x^53+47x^54+64x^55+44x^56+32x^57+34x^58+15x^60+6x^62+5x^64+1x^66+1x^86

The gray image is a code over GF(2) with n=400, k=12 and d=168.
This code was found by Heurico 1.16 in 0.465 seconds.