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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+95x^68+64x^70+6x^71+161x^72+38x^73+124x^74+78x^75+161x^76+150x^77+289x^78+260x^79+803x^80+316x^81+1419x^82+8540x^83+1420x^84+332x^85+781x^86+238x^87+257x^88+158x^89+157x^90+86x^91+90x^92+30x^93+110x^94+8x^95+52x^96+77x^98+25x^100+35x^102+6x^104+15x^106+1x^108+1x^126

The gray image is a code over GF(2) with n=664, k=14 and d=272.
This code was found by Heurico 1.16 in 13 seconds.