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  2  1  2  1  1  1  1  2  1  1  1  1  1  2  1  2  1  4  1  1  2  1  1  1  4  1  1  2  4  1  2  1  1  2  2
 0 12  0  0  0  0  0  0  0  4 12 12  4 12  4 12  8 12  8 12  0  8 12  8 12  4 12  0  4 12  4  4  0  8  8 12 12  4  8  8  8  8  8  4 12  8 12  8 12 12  8 12 12  0  8  8 12  0  4
 0  0 12  0  0  8 12 12  4  4  4  8  4 12  0  8  0  8  0  4  4  4  4  4  8 12  0 12  0  0  0  8  4 12  8  4  0  8  8  0  0  4  8 12 12 12  0 12 12  4  8 12 12  0 12  0  4  4  0
 0  0  0 12  0 12 12  4  8  0  0  0  4 12  4  4  8 12  4  4  8  8  4  4  0  0  4  4  8 12  0  8  4  8 12 12  8 12 12  4 12 12  4  8 12 12  0  4  0  4  8  8  0  8  8 12  8 12  4
 0  0  0  0 12  4  8  4  4  0  4  4  4  0  8 12 12  8  8  4  8 12  0 12  8  4 12  0 12 12  0 12 12 12  8  0  8  0 12  0  8  4  4  4  0  4 12  0  4 12  4  0 12  4  0  0  8  8  0

generates a code of length 59 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+83x^52+12x^53+188x^54+44x^55+351x^56+260x^57+724x^58+904x^59+708x^60+260x^61+244x^62+44x^63+112x^64+12x^65+66x^66+46x^68+20x^70+8x^72+6x^74+2x^76+1x^92

The gray image is a code over GF(2) with n=472, k=12 and d=208.
This code was found by Heurico 1.16 in 0.6 seconds.