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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+27x^82+60x^84+6x^85+70x^86+36x^87+56x^88+132x^89+49x^90+340x^91+30x^92+2544x^93+28x^94+364x^95+36x^96+124x^97+26x^98+28x^99+28x^100+10x^101+23x^102+22x^104+17x^106+14x^108+11x^110+5x^112+1x^114+4x^116+3x^118+1x^158

The gray image is a code over GF(2) with n=744, k=12 and d=328.
This code was found by Heurico 1.16 in 1.4 seconds.