The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+150x^36+148x^37+616x^38+1156x^39+1999x^40+2792x^41+2764x^42+2792x^43+1922x^44+1156x^45+574x^46+148x^47+87x^48+40x^50+28x^52+6x^54+5x^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 2.15 seconds.