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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+111x^52+100x^53+234x^54+244x^55+499x^56+544x^57+668x^58+568x^59+467x^60+244x^61+198x^62+84x^63+89x^64+8x^65+16x^66+9x^68+4x^70+7x^72+1x^92

The gray image is a code over GF(2) with n=464, k=12 and d=208.
This code was found by Heurico 1.16 in 0.487 seconds.