The generator matrix

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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+38x^46+18x^47+85x^48+194x^49+170x^50+440x^51+466x^52+1496x^53+1088x^54+3484x^55+1482x^56+3484x^57+1073x^58+1496x^59+445x^60+440x^61+144x^62+194x^63+52x^64+18x^65+32x^66+16x^68+9x^70+12x^72+5x^74+1x^76+1x^86

The gray image is a code over GF(2) with n=448, k=14 and d=184.
This code was found by Heurico 1.16 in 4.98 seconds.