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 X X X X 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 1 1 1 1 1 1 1 1 1 1 X X 2 X X 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 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 2X 2X 2X 0 2X 0 2X 2X 2X 0 2X 2X 2X 0 0 0 0 0 0 0 0 0 2X 2X 0 0 0 2X 2X 0 2X 0 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 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 2X 2X 2X 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 2X 2X 0 0 2X 2X 0 2X 0 2X 2X 2X 0
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 2X 2X 2X 2X 0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 0 2X 2X 0 0 0 0 0 2X 2X 0 2X 2X 0 0 0 0 2X 2X 2X 0 2X 0 2X 0 2X 0 2X 0 0 2X 2X 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 0 0 0 2X 2X 2X 2X 0 2X 2X 0 0 2X 2X 0 2X 2X 0 0 2X 2X 0 2X 2X 0 2X 0 2X 2X 2X 0 2X 2X 2X 0 2X 0 2X 2X 0 2X 2X 2X 2X 0 2X 0 0 0 0 0 0 2X 0 2X 0 0 0 2X
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 2X 2X 0 2X 2X 0 0 0 2X 0 2X 0 2X 0 0 2X 0 2X 0 2X 0 2X 0 2X 0 0 2X 0 2X 0 2X 2X 0 2X 0 2X 2X 0 2X 0 2X 2X 0 2X 2X 0 0 0 0 0 2X 2X 2X 0 0 2X 0 0 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 2X 2X 0 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 0 2X 0 0 0 0 0 0 0 0 0 2X 0 2X 2X 2X 0 0 0 0 2X 0 0 2X 0 0 2X 0 2X
generates a code of length 88 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 84.
Homogenous weight enumerator: w(x)=1x^0+95x^84+64x^86+723x^88+64x^90+54x^92+19x^96+3x^100+1x^152
The gray image is a code over GF(2) with n=704, k=10 and d=336.
This code was found by Heurico 1.16 in 97.1 seconds.