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

generates a code of length 48 over Z16 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+15x^44+48x^45+15x^46+164x^47+14x^48+192x^49+14x^50+24x^51+1x^52+16x^53+1x^54+4x^55+1x^56+1x^58+1x^66

The gray image is a code over GF(2) with n=384, k=9 and d=176.
This code was found by Heurico 1.16 in 0.0679 seconds.