The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  6  1  1  0  1  1  1 12  1 10  1  1  1  0  1  6  1  1  1  1  1 12  1 10  1  1 12  6  1  1  1  1  1  0  1  1  1 10  1  1  0  1  1  1 12 10  1  1  1  0  1  6  1  1  6  0  1  1  1  0  1 10  1  1  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  6  1  3  0  1  5 12  9  1 10  1 15  3  5  1  0  1  6  9 12 15 10  1 10  1  5  0  1  1  6  9  6 12  3  1 15  3 10  1  0 10  1  5 15  9  1  1 12  5 15  1  6  1  9  3  1  1  5 12  0  1  6  1  6  5  3  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  0  8  0  8  0  8  0  0  0  8  8  8  0  0  8  8  0  8  8  0  8  8  8  8  0  8  0  0  8  0  0  8  0  8  8  8  0  0  8  8  8  8  8  0  0  8  0  8  0  0  0  8  8  0  8  0  8  0  0  8  0  0  8  0
 0  0  0  8  0  0  0  0  0  0  0  0  8  0  0  8  8  8  8  8  8  8  0  0  8  0  8  0  0  0  0  0  8  8  8  0  8  8  8  8  8  8  8  8  8  0  0  8  8  8  8  8  8  0  8  0  8  0  0  8  8  0  0  8  8  0  0  0  0  8  0  0  0  8  8  8  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  0  8  8  8  8  8  0  8  8  8  0  8  0  8  8  0  8  8  0  8  0  0  8  8  8  8  8  8  8  8  0  0  0  8  8  8  8  0  8  8  8  8
 0  0  0  0  0  8  0  0  0  0  0  0  0  8  0  8  8  8  0  8  0  0  8  8  8  8  8  8  8  8  0  0  8  8  0  8  8  0  8  8  0  8  0  0  8  0  0  0  8  0  0  0  0  0  0  8  8  0  0  0  0  8  8  0  0  8  8  0  8  8  8  0  8  0  8  0  0  0  8
 0  0  0  0  0  0  8  0  0  0  8  0  8  0  8  0  8  8  0  8  8  8  8  8  8  0  0  8  0  8  8  8  8  0  0  0  0  8  8  0  8  0  0  0  8  0  8  0  8  0  8  8  0  0  0  0  0  0  8  0  8  0  0  8  8  0  8  8  0  0  8  0  0  0  0  8  8  0  0
 0  0  0  0  0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  0  0  0  8  0  0  8  8  0  8  0  8  8  0  8  8  0  8  8  8  8  0  0  0  8  0  8  0  0  0  0  0  0  8  8  8  8  0  8  8  0  0  8  8  0  0  0  0  8  8  8  0  8  0  8  8  8  8  0  0
 0  0  0  0  0  0  0  0  8  0  8  8  0  8  8  8  8  8  0  8  0  8  0  8  0  8  8  0  0  0  0  8  8  0  0  0  0  0  0  8  8  8  0  8  0  8  0  0  0  8  0  0  8  8  0  0  8  0  0  8  8  8  0  0  8  8  0  8  0  0  0  0  0  8  8  0  0  0  8
 0  0  0  0  0  0  0  0  0  8  8  0  8  0  8  8  0  0  8  0  0  0  8  0  8  8  0  8  8  0  8  0  8  0  8  8  8  8  0  8  0  0  8  8  8  8  8  8  8  0  8  0  0  8  8  8  8  8  0  8  8  0  0  8  8  8  0  8  8  0  0  0  0  8  8  0  8  0  8

generates a code of length 79 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+39x^66+131x^68+4x^69+262x^70+216x^71+724x^72+1108x^73+1483x^74+4448x^75+3226x^76+9640x^77+5437x^78+12176x^79+5424x^80+9640x^81+3219x^82+4448x^83+1477x^84+1108x^85+685x^86+216x^87+218x^88+4x^89+93x^90+37x^92+31x^94+15x^96+14x^98+8x^100+1x^102+2x^104+1x^108

The gray image is a code over GF(2) with n=632, k=16 and d=264.
This code was found by Heurico 1.16 in 67 seconds.