The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  0  1  1  1  1  1  1  1 12  1  1  1  1  1  1  2  1  1  2  0  1  1  1  2  2
 0  2 12  6  0  6 12 10  0  6 12 10  4 10  0  6 14  8 12  6 10 12  6  2 10  2  0  4  0 10  2  2 12  0 10  8  4 10 10  6  8  6  2  4  4  4  6  6
 0  0  8  0  0  0  0  8  0  0  8  0  0  8  8  8  8  8  0  0  8  0  8  8  0  8  8  0  8  0  8  0  8  0  0  8  0  8  8  0  0  0  8  0  8  0  8  8
 0  0  0  8  0  0  0  8  0  8  8  0  8  8  0  0  8  0  0  8  0  8  8  0  0  0  8  8  8  8  8  8  8  0  0  8  8  8  0  8  8  8  8  0  8  8  0  8
 0  0  0  0  8  0  0  8  8  0  0  8  0  0  8  0  0  8  8  0  8  8  8  8  8  8  0  0  0  8  0  0  8  0  8  8  0  0  8  8  0  0  8  0  0  8  0  8
 0  0  0  0  0  8  0  8  0  8  0  0  0  8  8  0  0  8  8  8  0  0  8  8  0  0  8  8  0  0  0  8  0  8  8  8  0  8  0  8  0  0  8  8  8  0  0  8
 0  0  0  0  0  0  8  8  8  0  8  8  0  0  0  8  8  8  8  8  0  0  0  8  0  8  8  0  0  8  0  8  0  0  0  8  8  8  0  0  0  8  8  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+58x^42+64x^43+281x^44+160x^45+399x^46+800x^47+598x^48+800x^49+384x^50+160x^51+260x^52+64x^53+46x^54+8x^56+6x^58+3x^60+3x^62+1x^80

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 0.615 seconds.