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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+102x^60+212x^62+80x^63+403x^64+364x^65+619x^66+644x^67+592x^68+392x^69+346x^70+40x^71+124x^72+12x^73+86x^74+4x^75+44x^76+14x^78+11x^80+3x^82+2x^84+1x^112

The gray image is a code over GF(2) with n=536, k=12 and d=240.
This code was found by Heurico 1.16 in 0.73 seconds.