The generator matrix

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

generates a code of length 29 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+168x^25+239x^26+248x^27+286x^28+248x^29+276x^30+204x^31+183x^32+102x^33+35x^34+44x^35+2x^36+8x^37+2x^38+2x^41

The gray image is a code over GF(2) with n=116, k=11 and d=50.
This code was found by Heurico 1.16 in 0.235 seconds.