The generator matrix

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

generates a code of length 43 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+126x^37+176x^38+394x^39+511x^40+998x^41+1158x^42+1624x^43+1066x^44+954x^45+527x^46+388x^47+71x^48+82x^49+50x^50+24x^51+12x^52+16x^53+8x^54+2x^55+1x^56+2x^60+1x^62

The gray image is a code over GF(2) with n=344, k=13 and d=148.
This code was found by Heurico 1.16 in 35.8 seconds.