The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+196x^39+396x^40+324x^41+396x^42+256x^43+193x^44+148x^45+90x^46+24x^47+9x^48+8x^49+4x^51+1x^52+2x^54

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 0.063 seconds.