The generator matrix

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

generates a code of length 42 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+23x^40+206x^42+23x^44+1x^52+2x^58

The gray image is a code over GF(2) with n=336, k=8 and d=160.
This code was found by Heurico 1.16 in 0.0294 seconds.