The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 10  1  1 12  1  1  1  1  0  6  1  1  1  1  1  1  1  1  1  1  1  1 12 10  0  8  6 14  4  1  1  1 12  2  1
 0  1  3  6  5  1 15 12  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  0  6  3  9  1  1 10 12  6 14  0  8 15  5  3 11  5 13  1  1  1  1  1  1  0  4 10  6  2 14 12
 0  0  8  0  0  0  0  8  8  8  8  8  0  0  0  8  8  8  0  0  8  8  8  0  0  0  8  8  0  0  0  8  0  8  8  8  8  0  0  8  0  0  8  0  8  8  0  8  0  0  0  8  8  0  0
 0  0  0  8  0  8  8  8  8  0  8  0  0  0  8  0  0  8  8  8  0  8  8  0  8  0  8  0  8  0  0  0  8  8  8  0  8  0  0  0  8  8  8  0  0  0  8  8  0  0  8  0  8  8  8
 0  0  0  0  8  0  8  8  8  8  0  8  8  0  8  0  8  0  8  0  0  0  8  8  0  0  0  0  0  0  8  8  8  8  0  0  8  0  8  8  8  0  0  8  8  0  8  8  8  0  8  8  8  0  0

generates a code of length 55 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+128x^51+226x^52+256x^53+280x^54+272x^55+332x^56+256x^57+136x^58+96x^59+46x^60+16x^63+1x^64+2x^72

The gray image is a code over GF(2) with n=440, k=11 and d=204.
This code was found by Heurico 1.16 in 0.139 seconds.