The generator matrix

 1  0  0  1  1  1 10  4  1  1  1  6  1  1 10  1  1  1  2  8 14  1  1 14  1  1  0  1  1  0 12  0  1  1  2  1  6  1  0  1  1 10 12  1  6  8  1  1  1
 0  1  0  4  5  1  1  1 10  7  6  1 11  9  0  4  8 11  1  1 14  3 13  4  2 10  1  0 15  1  1 10 11 14  1 13  1 12  1 11 12  1  0  1  2  1  8  7 11
 0  0  1  7  3  4  3  1 13  2  0  8 12  9  1 13 14 15  2 11  1  5  2  1  2  3  6  1  6 13  0  1  8  4  7  3  6  9  7 13  6 11  1  8  1 13  7 10  1
 0  0  0  8  0  0  0  0  8  0  0  0  0  0  0  8  0  0  8  8  8  8  8  8  8  0  0  8  8  8  0  0  8  8  0  0  8  0  8  8  0  8  0  8  0  8  8  8  0
 0  0  0  0  8  0  8  0  8  8  8  8  8  8  0  0  0  0  0  8  8  8  8  8  0  0  0  0  0  0  8  8  8  0  0  0  0  0  8  0  8  0  8  0  0  8  8  8  8
 0  0  0  0  0  8  0  0  0  8  8  8  0  8  8  8  8  8  0  8  0  8  8  8  0  8  8  0  8  0  0  8  0  8  8  0  8  0  0  0  0  8  8  8  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+180x^43+743x^44+1576x^45+2816x^46+3758x^47+4907x^48+5122x^49+4610x^50+3904x^51+2826x^52+1312x^53+619x^54+206x^55+88x^56+50x^57+13x^58+16x^59+11x^60+4x^61+5x^62+1x^66

The gray image is a code over GF(2) with n=392, k=15 and d=172.
This code was found by Heurico 1.16 in 7.17 seconds.