The generator matrix

 1  0  0  1  1  1  X  1  1  1  1  2  2  X X+2  X  1  1  1  1 X+2  0  1  1  2  2  1  X  1  0  1
 0  1  0  1 X+2 X+3  1  2 X+2  3 X+3  X  1  1  0  X  2 X+1 X+2  X  1  1  3  X X+2  1  1  1  0  1  0
 0  0  1  1 X+3 X+2  1  X  3 X+1  2  1  X X+3  1  1  2 X+1  2  1  0  0  0  0  1  1  3  X  3  2  0
 0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  2  2  2  0  0  0  0  2  0  2  2  0  2  0  0  0
 0  0  0  0  2  0  0  0  2  2  2  0  2  2  0  2  2  0  0  2  2  0  0  0  2  0  2  0  0  0  0
 0  0  0  0  0  2  0  0  0  0  2  0  2  2  2  2  2  2  2  2  2  2  2  2  0  2  2  0  0  0  0
 0  0  0  0  0  0  2  2  2  0  0  2  0  2  2  0  0  0  0  2  2  0  0  2  2  2  0  2  0  0  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+56x^24+130x^25+292x^26+450x^27+714x^28+746x^29+1230x^30+932x^31+1261x^32+794x^33+734x^34+388x^35+254x^36+118x^37+42x^38+20x^39+18x^40+4x^41+6x^42+2x^43

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 1.03 seconds.