The generator matrix

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

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+195x^26+340x^27+220x^28+322x^29+191x^30+266x^31+95x^32+148x^33+57x^34+32x^35+4x^36+2x^37+5x^38+2x^39

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 1.46 seconds.