The generator matrix

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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+198x^42+1218x^43+2816x^44+6624x^45+9564x^46+15636x^47+18209x^48+22108x^49+18964x^50+15960x^51+9230x^52+6340x^53+2586x^54+1084x^55+330x^56+116x^57+42x^58+22x^59+6x^60+12x^61+6x^62

The gray image is a code over GF(2) with n=392, k=17 and d=168.
This code was found by Heurico 1.16 in 107 seconds.