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

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

Homogenous weight enumerator: w(x)=1x^0+46x^80+105x^84+22x^86+169x^88+108x^90+512x^91+2243x^92+512x^93+104x^94+120x^96+20x^98+55x^100+2x^102+34x^104+25x^108+12x^112+4x^116+1x^120+1x^160

The gray image is a code over GF(2) with n=736, k=12 and d=320.
This code was found by Heurico 1.16 in 1.35 seconds.