The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+104x^37+249x^38+916x^39+1142x^40+1956x^41+2338x^42+3012x^43+2403x^44+2086x^45+990x^46+702x^47+248x^48+136x^49+36x^50+40x^51+9x^52+6x^53+1x^54+2x^55+5x^56+2x^58

The gray image is a code over GF(2) with n=344, k=14 and d=148.
This code was found by Heurico 1.16 in 2.08 seconds.