The generator matrix

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

generates a code of length 43 over Z16 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+28x^35+147x^36+316x^37+685x^38+1006x^39+2875x^40+2776x^41+6464x^42+4154x^43+6707x^44+2652x^45+2781x^46+1018x^47+672x^48+240x^49+99x^50+58x^51+30x^52+32x^53+18x^54+8x^55+1x^58

The gray image is a code over GF(2) with n=344, k=15 and d=140.
This code was found by Heurico 1.16 in 8.06 seconds.