The generator matrix

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

generates a code of length 31 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+274x^24+414x^26+64x^27+806x^28+512x^29+1528x^30+896x^31+1719x^32+512x^33+700x^34+64x^35+465x^36+168x^38+62x^40+6x^42+1x^52

The gray image is a code over GF(2) with n=124, k=13 and d=48.
This code was found by Heurico 1.16 in 30.6 seconds.