The generator matrix

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

generates a code of length 31 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+31x^26+88x^27+98x^28+98x^29+137x^30+156x^31+132x^32+92x^33+77x^34+66x^35+18x^36+2x^37+7x^38+8x^39+6x^40+4x^42+2x^43+1x^48

The gray image is a code over GF(2) with n=124, k=10 and d=52.
This code was found by Heurico 1.16 in 0.0404 seconds.