The generator matrix

 1  0  0  0  0  1  1  1  1  1  0  2  1  0 X+2  1  1  1 X+2  X  2  1  1 X+2  2  X  1 X+2  2  0  1
 0  1  0  0  0  2  2  0  0  0  1  1  1  X  1 X+2 X+3  3  1 X+2  1  2  X  1  2  X X+3  1  X  1  0
 0  0  1  0  0  2  0  3 X+1 X+3  3 X+1  X  1  2 X+2 X+2  2 X+3  1  3  3  1 X+2  1  2  X  0  1  2 X+2
 0  0  0  1  0  1  X  X X+2 X+1  3  X  1  3 X+1 X+3  3 X+2 X+2  1 X+1 X+3  2  3  3  1  0 X+2  0  1 X+2
 0  0  0  0  1  1 X+1  3  X X+1  X  3 X+3 X+3 X+3  X X+2  0 X+2 X+2  1  2  1  2  0 X+3  0 X+1  0  3  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+142x^24+590x^25+1108x^26+1780x^27+2637x^28+3462x^29+4268x^30+4508x^31+4388x^32+3846x^33+2712x^34+1740x^35+887x^36+378x^37+196x^38+68x^39+41x^40+12x^41+4x^42

The gray image is a code over GF(2) with n=124, k=15 and d=48.
This code was found by Heurico 1.13 in 6.06 seconds.