The generator matrix

 1  0  0  1  1  1  X  1  1 X+2  1  1  X X+2  2  X  X  0  2  1  1  2  1  1  1  2 X+2  1  2  1  1
 0  1  0  X  1 X+3  1 X+2  0  2  1 X+1  1  1  X  1  X  1  1  X  2  1 X+1  1  2  X  1 X+2  X  X X+1
 0  0  1  1 X+3 X+2  1 X+3 X+2  1  1  0  X X+1  1  2  1 X+1  1  X  1 X+3 X+1  X X+2  1  0  0  1  X X+3
 0  0  0  2  0  0  0  0  2  2  0  0  2  2  2  2  2  0  0  2  0  2  0  0  0  0  2  0  2  0  0
 0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  2  2  0  2  2  2  0  0  2  2  0  2  2  2  2  0
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  2  0  0  0  2  0  2  0  0  2  2  0  2  2
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  2  2  0  2  2  0  2  0  2  2  2  2  0  2
 0  0  0  0  0  0  0  2  2  2  2  2  0  0  2  2  0  0  0  0  2  2  0  0  2  2  0  0  0  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+192x^24+120x^25+596x^26+680x^27+1638x^28+1352x^29+2702x^30+1784x^31+2717x^32+1480x^33+1582x^34+600x^35+654x^36+120x^37+106x^38+8x^39+42x^40+6x^42+4x^44

The gray image is a code over GF(2) with n=124, k=14 and d=48.
This code was found by Heurico 1.16 in 4.5 seconds.