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.