The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 10 12  1  1  0 10  1  1  1  1  1  1  1  1  1 12  6  1  1  1  1  1  1  1  0  8  6 14  1  1  1  1  8  4  1  1  1  1  6
 0  1  3  6  5  1 15 12  1 10  9  1  0  3  1  6  5  1 12 15  1  1 10  9  1  1  0  6 12 10  3  5 15  9  6  1  1  0  8 14  3  5 11 13  1  1  1  1 12  4 10  2  2  1 15  9  7  5  1
 0  0  8  0  0  0  0  8  8  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  0  8  0  8  0  0  8  0  0  8  8  8  0  8  8  0  0  0  8  8  8  8  0  0  0  8  0  8  0  0  0  0  8  8  8
 0  0  0  8  0  8  8  8  8  0  8  0  0  0  8  0  0  8  8  8  0  0  8  8  8  8  8  8  8  0  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  0  0  0  8  8
 0  0  0  0  8  0  8  8  8  8  0  8  8  0  8  0  8  0  0  8  0  8  8  0  0  8  8  0  0  0  0  8  0  8  8  0  8  8  0  8  8  0  8  0  8  0  0  8  0  0  8  8  0  0  0  8  0  8  0

generates a code of length 59 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+120x^55+276x^56+216x^57+266x^58+256x^59+378x^60+160x^61+212x^62+136x^63+14x^64+8x^65+2x^66+2x^76+1x^80

The gray image is a code over GF(2) with n=472, k=11 and d=220.
This code was found by Heurico 1.16 in 0.135 seconds.