The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  2 X+2  1  1  1  1  1  1 X+2  0  1  1  1  1  2  1  1  X  1  1
 0  1  1  0 X+3  1  X X+3  1  0 X+1  1  1 X+3  X  1  2  0  1  1  1  3  1 X+3  1  1  2  X X+2  3  2
 0  0  X  0 X+2  2  0  0 X+2 X+2  X  2 X+2  2  2  X X+2 X+2  2  X  0  2  0 X+2  2  0  X  0  2  X  X
 0  0  0  X  0  2 X+2  X  2 X+2  X X+2  X  2 X+2 X+2  2  X  0  2 X+2  X X+2  2  X  X  0 X+2 X+2  X  0
 0  0  0  0  2  2  2  2  0  2  0  0  2  0  2  2  2  0  2  2  0  0  2  0  2  2  2  0  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+74x^26+104x^27+213x^28+264x^29+252x^30+304x^31+251x^32+240x^33+124x^34+104x^35+66x^36+8x^37+28x^38+12x^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 0.0936 seconds.