The generator matrix

 1  0  1  1  1  0  1  1  0  1  X  1  0  1  1  X  1  1  X  1  1  1  1  0  X  0  1  1 X+2  1  1
 0  1  1  0  1  1  2 X+1  1 X+2  1  1  1 X+2 X+3  1 X+1  2  1  X  1  3  0  1  X  0 X+3 X+1  1 X+3 X+2
 0  0  X  0  0  0  0  0  0  0  0  2 X+2  X X+2 X+2  X  X  X  X  2  X  2 X+2  X  0 X+2  2 X+2 X+2  X
 0  0  0  X  0  0  0  0  X X+2 X+2 X+2  0  X  X X+2  X  2  2 X+2 X+2 X+2 X+2  X  2  2 X+2  X  X  2  X
 0  0  0  0  X  0  2 X+2  0  2  0  X  X  X  2 X+2  2 X+2  X  X  X  2  0 X+2  0  X  0  0  0  2  2
 0  0  0  0  0  X X+2 X+2 X+2  X  2  X  0 X+2 X+2  0  2 X+2  X  0 X+2  2  2  X  0 X+2  X  X  0 X+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+264x^24+96x^25+728x^26+628x^27+1563x^28+1336x^29+2520x^30+2012x^31+2610x^32+1392x^33+1642x^34+556x^35+661x^36+120x^37+196x^38+4x^39+52x^40+2x^42+1x^56

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 30.9 seconds.