The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1 X+2  1  X  1  1  X  1  2  X  1  1  1  0  X  0  1  1
 0  1  1  0 X+3  1  X X+1  1 X+2  1  3 X+3  2  1  1  1 X+2 X+1  1 X+1  1  1  2 X+1 X+1  1 X+2  0 X+2  0
 0  0  X  0 X+2  0  0  X  2  0  2  X  0  X X+2  2 X+2 X+2  2 X+2 X+2  2  0 X+2  X  2  2 X+2  X  0  2
 0  0  0  X  0  0  X  X X+2  2  X  X  X  2 X+2 X+2  2 X+2  0  0  0 X+2  2  2  X  0  0  0  2  2  2
 0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  0  0  0  0  2  2  0  2  0  2  2  2  0  0  0
 0  0  0  0  0  2  0  0  0  2  0  2  0  0  2  2  2  2  2  2  2  2  2  0  2  0  2  0  2  2  2
 0  0  0  0  0  0  2  0  0  0  2  0  0  2  2  0  2  2  2  0  2  2  2  0  0  2  0  2  2  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+73x^24+138x^25+254x^26+414x^27+705x^28+922x^29+951x^30+1182x^31+1170x^32+878x^33+629x^34+426x^35+219x^36+110x^37+75x^38+26x^39+8x^40+9x^42+2x^46

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 1.49 seconds.