The generator matrix

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

generates a code of length 28 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+29x^24+28x^25+76x^26+52x^27+186x^28+20x^29+65x^30+12x^31+8x^32+16x^33+17x^34+1x^38+1x^50

The gray image is a code over GF(2) with n=112, k=9 and d=48.
This code was found by Heurico 1.16 in 0.0145 seconds.