The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  2  1  0  1  1  1  X X+2  0  1  1  1  0  X  2 X+2  X  1
 0  1  1 X+2 X+3  1  0 X+1  1  3  1  X  2  1 X+1  1  0 X+3 X+2  1  1  1  1  X  3  0 X+2  2  1 X+2  0
 0  0  X  0 X+2  0 X+2  0  X  2  X  X  X X+2  0  0  2  X  2 X+2  0  X X+2 X+2  2  X X+2  X  2  0  0
 0  0  0  2  0  0  0  0  0  2  2  2  2  2  0  2  0  2  2  0  0  2  0  0  2  0  0  2  0  0  0
 0  0  0  0  2  0  0  2  2  2  2  2  0  0  2  0  0  0  0  0  0  2  2  2  2  2  0  0  0  0  0
 0  0  0  0  0  2  0  2  0  2  0  0  0  0  2  0  2  2  2  0  2  0  2  0  2  2  0  2  0  2  0
 0  0  0  0  0  0  2  0  2  0  2  0  0  2  2  2  2  2  0  0  2  0  2  2  2  2  2  0  0  0  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+32x^24+82x^25+186x^26+186x^27+383x^28+310x^29+725x^30+386x^31+592x^32+306x^33+460x^34+190x^35+126x^36+66x^37+34x^38+6x^39+14x^40+4x^41+2x^42+3x^44+1x^46+1x^48

The gray image is a code over GF(2) with n=124, k=12 and d=48.
This code was found by Heurico 1.16 in 0.311 seconds.