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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+27x^50+22x^51+48x^52+86x^53+81x^54+234x^55+71x^56+810x^57+62x^58+1278x^59+41x^60+814x^61+38x^62+238x^63+54x^64+78x^65+27x^66+20x^67+30x^68+4x^69+14x^70+9x^72+4x^74+1x^76+2x^78+1x^80+1x^86

The gray image is a code over GF(2) with n=472, k=12 and d=200.
This code was found by Heurico 1.16 in 0.572 seconds.