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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X X X X X X X X X X X 2 X 2 X X X X 2 X X X X X X X 2 2 2 2
0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 2X 2X 0 2X 2X 2X 0 2X 0 0 2X 2X 0 2X 2X 0 0 0 0 2X 2X 2X 0 0 2X 0 2X 2X
0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 0 0 2X 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 0 2X 2X 0 2X 0 2X 2X 0 0 2X 2X 2X 0 0 0 2X 2X 0 0 0 2X 0 2X 2X 0 2X
0 0 0 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 0 0 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 0 0 0 2X 2X 0 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 0 0 0 2X 0 2X 0 2X 0
0 0 0 0 2X 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 2X 2X 2X 2X 0 0 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 0 2X 2X 2X 2X 2X 0 2X 0 0 0 2X 2X 0 2X 0 2X 2X 0
0 0 0 0 0 2X 0 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 0 0 0 2X 2X 2X 2X 2X 2X 0 0 0 0 2X 2X 0 0 2X 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 2X 2X 0 0 0 2X 2X 0 2X 2X 2X 2X 2X 2X 0
0 0 0 0 0 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 2X 0 2X 2X 2X 0 0 2X 0 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 0 0 2X 0 2X 2X 0 0 2X 2X 0 0 2X 2X 0 0 2X 2X 0 0 2X 2X 0 0 2X 2X 0 2X 2X 0 0 0 0 0 2X 2X 0 0 2X 0 2X 0 2X 0 2X 2X 0 2X 2X 0 2X 0 0 0 0 2X 2X 0 2X 2X 0
generates a code of length 98 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 93.
Homogenous weight enumerator: w(x)=1x^0+28x^93+76x^94+92x^96+140x^97+512x^98+84x^101+42x^102+28x^104+4x^105+8x^110+6x^112+2x^118+1x^128
The gray image is a code over GF(2) with n=784, k=10 and d=372.
This code was found by Heurico 1.16 in 1.39 seconds.