The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  X  1 X+2  0  1  2  0  X  1  1  1  1  2  1 X+2  2 X+2  1  X  1
 0  1  0  0  X  2 X+2  1  1  3  3  1 X+1  0  1 X+2  1  1  1  0  1  2 X+2  1 X+3  1  1  1 X+3  1  0
 0  0  1  0  0  3  1  3  1  2 X+3  3 X+2  1 X+2 X+1  3 X+3  X  2 X+1  1 X+2 X+1  2  X  0  0 X+1  2  2
 0  0  0  1  1  1  X  3  2  3 X+3  0 X+2 X+1  3  0 X+3  X  1 X+1  1  1  2  0 X+2  2  X  2  3  3  2
 0  0  0  0  2  0  2  0  0  0  2  2  2  2  2  0  2  0  0  0  2  2  2  0  0  0  2  2  0  0  0

generates a code of length 31 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+74x^25+293x^26+542x^27+804x^28+832x^29+1088x^30+934x^31+1127x^32+892x^33+732x^34+466x^35+252x^36+88x^37+44x^38+10x^39+8x^40+2x^41+3x^42

The gray image is a code over GF(2) with n=124, k=13 and d=50.
This code was found by Heurico 1.16 in 0.995 seconds.