The generator matrix

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

generates a code of length 42 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+90x^36+356x^37+765x^38+1374x^39+1694x^40+2652x^41+2574x^42+2682x^43+1784x^44+1284x^45+634x^46+278x^47+107x^48+52x^49+22x^50+14x^51+2x^52+8x^53+5x^54+4x^55+2x^56

The gray image is a code over GF(2) with n=336, k=14 and d=144.
This code was found by Heurico 1.16 in 1.99 seconds.