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 X 1 X X X 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 2 2 2 X X X
0 2X+2 0 2X+2 0 2X+2 0 2X+2 0 2X+2 2X+2 0 2X+2 0 2X+2 0 0 2X 2X+2 2 2X 2X+2 2 2X 0 2X+2 2 0 2X+2 0 2 2X+2 2X 2X+2 2X+2 2 2X 2 0 2X+2 0 2X 2X+2 2 2X 2X+2 2 0 2X 2X+2 2 2X 2X 2X+2 0 2 2X+2 2X 2 2X 0 0 0 2X 2X 2X 0 0 2X 0 2X 2 2 2 2 2X+2 2X+2 2 0 2X 2X 2X+2 0 2X+2 2 2 2X+2 0 2X+2 2X 2X+2 2X+2 2X+2 2X
0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 2X 2X 0 0 2X 0 2X 2X 2X 2X 2X 0 0 2X 2X 2X 2X 0 2X 0 2X 0 0 2X 0 2X 0 2X 2X 0 0 2X 2X 0 0 2X 2X 0 2X 0 0 2X 2X 0 2X 0 2X 2X 0 0 2X 2X 0 2X 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 2X 0
0 0 0 2X 0 0 0 2X 0 0 0 0 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 0 2X 0 2X 0 2X 2X 2X 0 2X 0 2X 0 0 2X 2X 2X 2X 0 0 2X 0 0 0 0 0 0 2X 2X 0 0 0 2X 0 2X 2X 0 2X 2X 2X 2X 2X 2X 0 0 2X 2X 0 0 0 2X 2X 0 2X 0 2X 0 2X 2X 2X 2X 0 2X 0 0 2X 0 2X 2X 2X 2X 0
0 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 0 0 2X 0 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 2X 2X 2X 2X 2X 0 0 2X 0 2X 0 2X 0 2X 0 0 2X 2X 0 2X 2X 2X 0 0 0 2X 2X 0 2X 2X 0 2X 0 2X 2X 0 0 2X 2X 0 0 0 2X 2X 2X 2X 0 0 2X 2X 0 2X 2X 2X 0 0
0 0 0 0 0 2X 0 2X 2X 0 2X 2X 2X 2X 0 2X 0 0 2X 2X 0 2X 2X 0 2X 0 0 2X 0 2X 0 2X 2X 0 0 2X 2X 0 2X 0 2X 0 0 2X 0 0 0 0 0 2X 0 2X 2X 0 2X 0 2X 2X 2X 0 2X 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 2X 2X 0 2X 0
0 0 0 0 0 0 2X 0 2X 2X 2X 0 2X 0 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 2X 2X 2X 0 2X 2X 0 2X 2X 2X 2X 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 0 0 2X 0 2X 0 2X 0 0 2X 2X 2X 2X 0 0 2X 2X 2X 2X 0 0 2X 2X 0 0 2X 0 0 0 2X
generates a code of length 94 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 88.
Homogenous weight enumerator: w(x)=1x^0+82x^88+16x^89+68x^90+80x^91+233x^92+160x^93+820x^94+160x^95+209x^96+80x^97+32x^98+16x^99+37x^100+36x^102+10x^104+4x^106+1x^108+2x^112+1x^164
The gray image is a code over GF(2) with n=752, k=11 and d=352.
This code was found by Heurico 1.16 in 1.17 seconds.