The generator matrix
1 0 1 1 1 X+2 1 1 2 1 1 2 1 1 X+2 0 1 1 1 1 X+2 1 X+2 1 1
0 1 1 X+2 X+1 1 3 2 1 2 1 1 X X+3 1 X 1 2 X+2 X+2 1 X+1 1 X+1 2
0 0 X 0 2 0 2 X X X+2 X+2 X+2 X X 0 X+2 2 0 2 X X 0 X X X+2
0 0 0 2 2 2 0 2 2 0 2 0 0 2 0 0 2 2 0 2 2 0 0 0 2
generates a code of length 25 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 22.
Homogenous weight enumerator: w(x)=1x^0+45x^22+116x^23+104x^24+44x^25+61x^26+80x^27+18x^28+12x^29+21x^30+4x^31+5x^32+1x^34
The gray image is a code over GF(2) with n=100, k=9 and d=44.
This code was found by Heurico 1.16 in 0.00937 seconds.