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

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

Homogenous weight enumerator: w(x)=1x^0+170x^42+8x^43+241x^44+128x^45+434x^46+624x^47+963x^48+640x^49+362x^50+136x^51+214x^52+98x^54+44x^56+20x^58+8x^60+4x^62+1x^76

The gray image is a code over GF(2) with n=384, k=12 and d=168.
This code was found by Heurico 1.16 in 46.9 seconds.