The generator matrix

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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+83x^44+252x^45+347x^46+534x^47+570x^48+700x^49+533x^50+434x^51+270x^52+196x^53+72x^54+34x^55+31x^56+20x^57+5x^58+6x^59+4x^60+3x^62+1x^76

The gray image is a code over GF(2) with n=392, k=12 and d=176.
This code was found by Heurico 1.16 in 0.285 seconds.