The generator matrix

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

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+44x^25+84x^26+116x^27+169x^28+208x^29+264x^30+344x^31+277x^32+150x^33+140x^34+94x^35+59x^36+44x^37+24x^38+20x^39+5x^40+2x^41+2x^43+1x^48

The gray image is a code over GF(2) with n=124, k=11 and d=50.
This code was found by Heurico 1.16 in 0.125 seconds.