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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+46x^70+36x^71+204x^72+190x^73+460x^74+522x^75+847x^76+1306x^77+1693x^78+2440x^79+3050x^80+3718x^81+3924x^82+3764x^83+3040x^84+2446x^85+1602x^86+1220x^87+831x^88+442x^89+357x^90+178x^91+160x^92+86x^93+82x^94+32x^95+47x^96+2x^97+18x^98+8x^100+2x^101+8x^102+3x^104+1x^106+1x^108+1x^110

The gray image is a code over GF(2) with n=656, k=15 and d=280.
This code was found by Heurico 1.16 in 31 seconds.