The generator matrix

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

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+116x^24+307x^26+542x^28+1086x^30+1086x^32+578x^34+241x^36+102x^38+29x^40+7x^42+1x^44

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 0.443 seconds.