The generator matrix

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

generates a code of length 48 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+290x^42+1726x^43+3252x^44+5248x^45+7637x^46+9370x^47+10090x^48+10042x^49+7847x^50+5332x^51+2686x^52+1208x^53+523x^54+190x^55+43x^56+30x^57+15x^58+6x^59

The gray image is a code over GF(2) with n=384, k=16 and d=168.
This code was found by Heurico 1.16 in 26.7 seconds.