The generator matrix

 1  0  0  1  1  1  2  1  1  2  1  X  1  1  0  1  1 X+2 X+2 X+2  1  1  1 X+2  X  1  2  1
 0  1  0  2  3  1  1  0  3  1 X+2  1 X+1  X  X X+3  0 X+2  1  2 X+1  X X+2  1  1 X+3  X  0
 0  0  1 X+3 X+1  2 X+1 X+2  3  3  1  0  2  X  1  1  3  1 X+3  1 X+3 X+2 X+1  2  X X+3  1  0

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+46x^25+120x^26+96x^27+83x^28+38x^29+46x^30+20x^31+28x^32+16x^33+9x^34+8x^35+1x^38

The gray image is a code over GF(2) with n=112, k=9 and d=50.
This code was found by Heurico 1.13 in 5.72e-009 seconds.