The generator matrix

 1  0  1  1  6  1  4  1  1  1  2  1  2  1  1 12  1  1 14  1  1  1  1  1 12  0  1  8  1  1  1  0  1  1  1  1  1  1 10 12  4  1  1 14 12  2  1  8  8
 0  1  1  6  1  7  1  3 12 10  1  5  1 15 14  1  8  9  1 14  5  3  4  2  1  1 15  1  4  7 11  1 13  6  2  5  8 11  1  8  8  9  5  1  1  0  9  1  1
 0  0  2  0  0  2 10  8  6 14 12  0  2  8 12  0  4  8  2  2 14 14  2 10  6  4  6  2 12 12  4  6 12  8  4 14 10 10 14  2  2 10 10  4 14  2  6  2  4
 0  0  0  8  0  0  8  8  0  0  0  8  8  0  0  0  0  8  8  0  8  8  8  8  0  8  0  0  8  0  0  0  8  0  8  0  8  8  8  0  0  8  0  0  8  0  8  8  0
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  8  8  0  8  8  8  0  8  8  0  0  8  8  0  8  8  8  0  0  8  0  8  0  8  8  0  0  0
 0  0  0  0  0  8  8  0  8  0  8  8  0  8  8  8  0  8  0  8  8  8  0  0  0  8  0  0  8  8  0  8  0  8  8  8  8  0  8  0  8  0  0  0  0  0  0  0  8

generates a code of length 49 over Z16 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+162x^43+262x^44+1064x^45+1057x^46+2218x^47+1784x^48+3396x^49+1797x^50+2272x^51+971x^52+880x^53+190x^54+204x^55+51x^56+36x^57+26x^58+6x^59+3x^60+1x^62+2x^63+1x^66

The gray image is a code over GF(2) with n=392, k=14 and d=172.
This code was found by Heurico 1.16 in 2.41 seconds.