The generator matrix

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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+304x^45+1031x^46+1110x^47+1404x^48+1178x^49+1022x^50+772x^51+690x^52+326x^53+216x^54+52x^55+49x^56+32x^57+2x^58+2x^59+1x^62

The gray image is a code over GF(2) with n=392, k=13 and d=180.
This code was found by Heurico 1.16 in 0.539 seconds.