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

generates a code of length 48 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+42x^45+89x^46+281x^48+64x^50+20x^53+6x^54+6x^56+2x^61+1x^62

The gray image is a code over GF(2) with n=384, k=9 and d=180.
This code was found by Heurico 1.16 in 10.6 seconds.