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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+42x^88+42x^89+86x^90+70x^91+110x^92+108x^93+334x^94+176x^95+989x^96+232x^97+986x^98+196x^99+324x^100+100x^101+86x^102+48x^103+48x^104+30x^105+25x^106+22x^107+10x^108+10x^110+6x^112+5x^114+4x^116+2x^118+2x^120+1x^122+1x^162

The gray image is a code over GF(2) with n=776, k=12 and d=352.
This code was found by Heurico 1.16 in 1.72 seconds.