The generator matrix

 1  0  1  1  1  6  1  1  8  1  1 14  1 12  1  1  1 10  4  1  1  1  1  2  0 10 14  4 10 12 12 14 10  1  1  2  0  1  0 12  6  1
 0  1 11  6  5  1  9  8  1  7 14  1  4  1 13 10 15  1  1 12  3 10  9  1  1  1  1  1  1  1  1  1  1  0  6 12  0 10  1  2  1  2
 0  0 12  0  8  0  8  4 12  4 12  4  4  0 12  8  0  8 12  8  0 12  4  4  8  8 12 12  4  4  8  8  0  0  8  0  4  4  0 12  8 12
 0  0  0  8  8  8  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  0  0  8  0  8  0  8  0  8  8  0  0  8  0  8  8  0  8  0  8  0

generates a code of length 42 over Z16 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+288x^39+257x^40+394x^41+290x^42+352x^43+174x^44+188x^45+44x^46+44x^47+10x^49+1x^54+4x^55+1x^62

The gray image is a code over GF(2) with n=336, k=11 and d=156.
This code was found by Heurico 1.16 in 88.6 seconds.