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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1
0 2X 0 0 0 0 0 0 0 0 2X 0 0 2X 2X 0 2X 2X 0 0 2X 0 2X 0 0 2X 0 2X 0 2X 0 2X 2X 2X 0 0 2X 0 0 2X 2X 0 0 2X 2X 2X 0 2X 0 2X 2X 2X 2X 0 0 0 0 0 2X 2X 2X 0 2X 0 0 0 0 2X 2X 0 0 2X 2X 0 2X 2X 2X 0 2X 0 0 2X 2X 2X 0 0 0 2X
0 0 2X 0 0 0 0 0 0 0 2X 0 2X 2X 0 2X 2X 0 0 2X 2X 0 0 0 2X 2X 2X 2X 2X 0 0 2X 0 0 0 2X 0 0 0 2X 0 2X 0 2X 0 2X 2X 0 2X 2X 0 2X 0 2X 0 0 0 2X 2X 2X 2X 2X 0 0 2X 2X 2X 0 2X 0 2X 2X 0 2X 2X 0 0 2X 0 0 0 0 0 2X 2X 2X 2X 0
0 0 0 2X 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 0 2X 0 0 0 2X 0 0 2X 0 0 2X 2X 0 0 0 2X 0 2X 0 0 0 2X 0 2X 0 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 0 0 0 2X 0 2X 2X 2X 0 2X 0 2X 2X 0 2X 2X 2X 0 0 2X 2X 2X 0 2X 2X
0 0 0 0 2X 0 0 0 0 0 2X 2X 0 0 2X 2X 2X 0 2X 0 2X 0 0 2X 0 0 2X 2X 0 0 2X 2X 2X 0 0 0 2X 0 2X 0 0 2X 2X 2X 0 0 0 2X 0 2X 2X 2X 2X 2X 2X 0 2X 2X 0 0 0 2X 0 2X 2X 2X 2X 0 2X 2X 2X 0 0 0 0 2X 0 0 0 2X 2X 2X 2X 2X 0 0 0 2X
0 0 0 0 0 2X 0 0 0 2X 2X 0 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 2X 0 0 2X 0 2X 2X 0 2X 0 2X 0 0 0 2X 0 0 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 0 0 2X 0 2X 0 2X 2X 2X 2X 2X 0 2X 2X 0 2X 2X 2X 0 2X 2X 2X 0 0 2X 2X 2X 2X 0
0 0 0 0 0 0 2X 0 2X 2X 2X 0 0 2X 0 0 0 2X 0 2X 2X 2X 0 0 0 0 2X 0 2X 0 2X 2X 2X 2X 0 0 2X 2X 0 2X 2X 2X 2X 2X 0 0 2X 2X 2X 2X 2X 0 2X 2X 2X 0 0 2X 2X 0 2X 0 0 2X 0 2X 0 0 0 2X 0 2X 2X 2X 0 2X 2X 0 0 0 2X 2X 0 0 2X 0 0 0
0 0 0 0 0 0 0 2X 2X 0 2X 0 2X 0 2X 0 2X 0 0 0 2X 2X 0 2X 0 2X 2X 0 2X 2X 0 0 2X 0 0 2X 2X 2X 2X 2X 0 0 2X 2X 0 2X 0 0 0 0 0 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 0 2X 2X 2X 0 0 0 0 2X 0 0 2X 0 2X 0 0 0 0 0 2X 2X 2X 0 2X
generates a code of length 88 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 80.
Homogenous weight enumerator: w(x)=1x^0+21x^80+40x^82+40x^84+22x^86+128x^87+1550x^88+128x^89+24x^90+32x^92+33x^94+20x^96+8x^98+1x^174
The gray image is a code over GF(2) with n=704, k=11 and d=320.
This code was found by Heurico 1.16 in 0.687 seconds.