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

generates a code of length 92 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+259x^80+4x^81+474x^82+56x^83+777x^84+212x^85+1028x^86+556x^87+1865x^88+1820x^89+3664x^90+3508x^91+4686x^92+3452x^93+3380x^94+1852x^95+1912x^96+592x^97+1024x^98+164x^99+589x^100+64x^101+400x^102+8x^103+195x^104+116x^106+74x^108+24x^110+8x^112+2x^114+1x^116+1x^132

The gray image is a code over GF(2) with n=736, k=15 and d=320.
This code was found by Heurico 1.16 in 48.4 seconds.