The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0 12  8  2  1  1  1 12  1  0  2  2  4 12  1  2  1  1  2  1  2  0  4  1  2  1
 0  2  0  2  0  0 14 14  4  6  2  4  8 10  8 10  2  2  4  6  6  8  4  2  2  2  8 10  2  2 10  4 12 12  2  2  2  2  2 12  0  8
 0  0  2  2 12  6  6  4  4  0  6 10 14  2 12  0  8  6  2  0  6  8 10 12  0  2  6 12 12  8  6  6  2  0 10  4  0  0 14 10 14  8
 0  0  0  4  0  0  4  8  0  0 12  8  0  4  8  0  0  8  0  8  8 12 12 12 12  4  4 12  0  4  8  8 12  4  8  4  4 12 12  4  4  8
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  8  8  8  8  0  8  8  8  8  8  8  8  0  0  8  0  8  8  0  8  8  8  0  8  8
 0  0  0  0  0  8  8  8  8  8  0  8  0  8  8  0  8  8  0  0  8  0  8  8  8  0  0  0  8  8  8  0  8  0  0  0  8  0  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+44x^35+253x^36+486x^37+709x^38+1320x^39+1759x^40+2536x^41+2245x^42+2546x^43+1825x^44+1242x^45+617x^46+416x^47+216x^48+84x^49+35x^50+22x^51+10x^52+4x^53+10x^54+4x^55

The gray image is a code over GF(2) with n=336, k=14 and d=140.
This code was found by Heurico 1.16 in 3 seconds.