The generator matrix

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

generates a code of length 31 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+72x^26+124x^27+204x^28+244x^29+264x^30+296x^31+236x^32+248x^33+154x^34+92x^35+59x^36+20x^37+20x^38+11x^40+2x^42+1x^44

The gray image is a code over GF(2) with n=124, k=11 and d=52.
This code was found by Heurico 1.16 in 0.0928 seconds.