The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  0  1  1  1 X+2  1  1  2  0  1  1  1  X  1  1  1  X  1
 0  1  1  0  1  1  X X+3  1 X+2  1 X+3  0  1 X+1  3  0  1  1 X+3  1  1 X+1  0  2  1  2 X+3  2  1  0
 0  0  X  0  0  0  0  0  0  2  2  X  X  X  0 X+2 X+2  2  X X+2  X X+2  X  2 X+2  2  2  X X+2  0  X
 0  0  0  X  0  0  X  2  X  2 X+2  0  0  0 X+2 X+2  X  X X+2  2  0 X+2  2 X+2  0  0  2  2 X+2  0  0
 0  0  0  0  X  0  0  X  2  2  0  2 X+2  X X+2  2  0  X X+2  X  2  2  X  X  0 X+2 X+2 X+2  2  X  X
 0  0  0  0  0  2  2  2  2  2  0  2  2  2  2  2  2  2  0  2  0  0  0  2  0  2  2  0  2  2  0

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+76x^24+128x^25+230x^26+360x^27+658x^28+946x^29+1082x^30+1232x^31+1117x^32+946x^33+606x^34+376x^35+246x^36+86x^37+62x^38+16x^39+14x^40+6x^41+4x^42

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 1.51 seconds.