The generator matrix

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

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+161x^24+32x^25+64x^26+224x^27+64x^28+224x^29+64x^30+32x^31+154x^32+3x^40+1x^48

The gray image is a code over GF(2) with n=112, k=10 and d=48.
This code was found by Heurico 1.16 in 0.492 seconds.