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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+29x^56+38x^57+60x^58+44x^59+88x^60+114x^61+278x^62+438x^63+603x^64+758x^65+574x^66+470x^67+245x^68+102x^69+74x^70+66x^71+43x^72+12x^73+25x^74+6x^75+8x^76+8x^78+4x^80+4x^82+3x^84+1x^106

The gray image is a code over GF(2) with n=520, k=12 and d=224.
This code was found by Heurico 1.16 in 0.694 seconds.