The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  1  1  0  1 X+2  1  1  1 X+2  0  X X+2  1  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0  2 X+2 X+1  1  3  1 X+2 X+3  3  1  1  1  1 X+1 X+1
 0  0  2  0  0  0  0  2  0  2  2  2  0  0  2  2  2  0  0  0  2  2  0  0  2  0  2  0
 0  0  0  2  0  0  2  2  0  2  0  2  0  2  2  0  0  2  2  0  2  0  0  2  0  0  0  2
 0  0  0  0  2  0  2  0  2  2  2  2  0  2  0  2  0  2  0  0  2  2  2  2  0  0  2  0
 0  0  0  0  0  2  0  2  2  2  0  2  2  2  0  2  0  0  2  0  0  2  2  2  2  0  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+107x^24+272x^26+275x^28+272x^30+84x^32+9x^36+4x^40

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 0.0257 seconds.