The generator matrix

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

generates a code of length 48 over Z16 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+72x^43+240x^44+426x^45+431x^46+696x^47+516x^48+706x^49+406x^50+254x^51+114x^52+106x^53+55x^54+32x^55+20x^56+10x^57+4x^58+2x^59+4x^60+1x^72

The gray image is a code over GF(2) with n=384, k=12 and d=172.
This code was found by Heurico 1.16 in 0.275 seconds.