The generator matrix

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

generates a code of length 42 over Z16 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+196x^35+552x^36+1186x^37+2552x^38+4470x^39+7701x^40+10038x^41+12183x^42+10028x^43+7845x^44+4464x^45+2410x^46+1140x^47+415x^48+198x^49+99x^50+16x^51+29x^52+2x^53+4x^54+6x^55+1x^56

The gray image is a code over GF(2) with n=336, k=16 and d=140.
This code was found by Heurico 1.16 in 28.3 seconds.