The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  2  1  4  1  4  1  8  1  2  2  1  0  1  2  2  4  0  2  0  2
 0 12  0  4  0  0  4 12  0  8  4  4  0 12 12  8  8 12  0  4  4  0  4  8  4  4 12  4  8 12  0  8  4  0  4  8 12 12 12  8  8  4  4 12  4 12  0  4
 0  0 12  4  0 12  4  0  8  4  0  4  0  4  8  4  4  0  0  4 12 12  8  8  0 12  0  0  4 12 12 12  4  8 12  0  8  8  0  4  4  4  0  0  8  8  4  4
 0  0  0  8  0  0  0  0  8  8  8  8  8  0  8  0  8  0  8  0  8  8  0  8  0  0  0  0  8  0  8  8  0  0  0  0  8  8  8  0  8  8  8  8  8  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  8  0  0  0  0  0  8  8  8  8  0  8  8  0  0  8  8  0  8  0  0  8  8  0  8  0  0  8  8  0  8  8  8  0  8
 0  0  0  0  0  8  0  0  0  8  0  0  8  8  8  8  8  8  8  0  8  8  8  0  0  8  0  8  8  0  0  0  8  0  8  8  0  0  8  0  0  8  0  0  8  8  0  0
 0  0  0  0  0  0  8  0  8  8  8  8  8  0  8  8  0  8  0  8  8  0  8  8  0  0  8  0  0  0  8  8  8  0  8  0  0  0  0  8  0  8  8  0  0  8  0  0
 0  0  0  0  0  0  0  8  0  0  8  0  0  0  0  8  0  8  8  0  8  8  8  8  0  8  8  0  8  0  8  0  0  8  0  8  0  8  0  0  8  8  0  0  8  8  8  8

generates a code of length 48 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+108x^40+16x^41+244x^42+72x^43+570x^44+432x^45+988x^46+1032x^47+1362x^48+1008x^49+996x^50+408x^51+500x^52+80x^53+180x^54+24x^55+120x^56+24x^58+18x^60+9x^64

The gray image is a code over GF(2) with n=384, k=13 and d=160.
This code was found by Heurico 1.16 in 1.34 seconds.