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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+138x^71+165x^72+194x^73+323x^74+364x^75+564x^76+690x^77+537x^78+360x^79+306x^80+158x^81+116x^82+120x^83+9x^84+6x^85+10x^86+6x^87+8x^88+8x^89+5x^90+4x^91+3x^92+1x^126

The gray image is a code over GF(2) with n=616, k=12 and d=284.
This code was found by Heurico 1.16 in 1 seconds.