The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+38x^54+200x^55+110x^56+162x^57+239x^58+562x^59+238x^60+156x^61+98x^62+196x^63+33x^64+2x^65+8x^66+2x^67+2x^68+1x^106

The gray image is a code over GF(2) with n=472, k=11 and d=216.
This code was found by Heurico 1.16 in 0.304 seconds.