The generator matrix
1 0 1 1 1 X+2 1 1 2 1 1 2 1 1 X+2 X X+2 2 1 1 1 1 1 1 X 1 0 1
0 1 1 X+2 X+1 1 3 2 1 2 1 1 X X+3 1 1 1 1 X X+1 0 1 X X+3 0 X+2 0 0
0 0 X 0 2 0 2 X X X+2 X+2 X+2 X X 0 X X 2 2 0 0 2 X X X+2 X X 2
0 0 0 2 2 2 0 2 2 0 2 0 0 2 0 0 2 2 0 0 2 2 2 0 2 0 0 2
generates a code of length 28 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 25.
Homogenous weight enumerator: w(x)=1x^0+92x^25+40x^26+132x^27+42x^28+80x^29+40x^30+48x^31+3x^32+20x^33+12x^35+2x^36
The gray image is a code over GF(2) with n=112, k=9 and d=50.
This code was found by Heurico 1.16 in 0.0405 seconds.