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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+234x^54+16x^55+225x^56+240x^57+640x^58+240x^59+216x^60+16x^61+196x^62+5x^64+16x^66+2x^70+1x^104

The gray image is a code over GF(2) with n=464, k=11 and d=216.
This code was found by Heurico 1.16 in 3.29 seconds.