The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  2  1  1  0  1  1  1  1 X+2  1  1  1  1  X  1  X  1  X  X
 0  1  1 X+2 X+3  1  0 X+1  1  X  1  3  1  0 X+3  1 X+1  2 X+2  1  1  0 X+3  X  1  1 X+1  1 X+1  2  0
 0  0  X  0 X+2  0 X+2  0  X X+2 X+2  2 X+2  2  X  0  0 X+2  0 X+2  0  2 X+2 X+2 X+2  X  0  X  2  X  0
 0  0  0  2  0  0  0  0  0  0  0  2  2  2  0  2  0  2  0  2  2  2  0  2  0  2  2  2  2  0  0
 0  0  0  0  2  0  0  0  0  2  2  0  2  0  0  2  2  0  2  2  0  0  0  0  0  2  2  2  2  2  2
 0  0  0  0  0  2  0  0  2  0  2  0  2  2  2  2  0  0  0  2  0  2  0  0  2  2  0  2  0  0  0
 0  0  0  0  0  0  2  0  2  2  2  0  2  0  0  0  0  0  2  0  2  2  2  2  0  0  2  0  0  0  2
 0  0  0  0  0  0  0  2  2  0  2  2  2  0  0  0  2  0  0  2  0  0  2  2  2  0  0  2  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+141x^24+60x^25+310x^26+220x^27+856x^28+748x^29+1260x^30+1036x^31+1302x^32+692x^33+776x^34+276x^35+340x^36+36x^37+84x^38+4x^39+43x^40+2x^42+4x^44+1x^48

The gray image is a code over GF(2) with n=124, k=13 and d=48.
This code was found by Heurico 1.16 in 1.35 seconds.