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

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

Homogenous weight enumerator: w(x)=1x^0+102x^66+305x^68+20x^69+492x^70+64x^71+732x^72+244x^73+1042x^74+800x^75+1986x^76+2792x^77+5617x^78+4448x^79+5601x^80+2824x^81+2020x^82+736x^83+1084x^84+260x^85+642x^86+96x^87+386x^88+4x^89+255x^90+110x^92+45x^94+29x^96+20x^98+3x^100+4x^102+2x^104+1x^106+1x^112

The gray image is a code over GF(2) with n=632, k=15 and d=264.
This code was found by Heurico 1.16 in 46.2 seconds.