The generator matrix

 1  0  1  1  1  2  1  1  0  1  1  0  X  1  1  1  1  0  1  1  X  X X+2  1  1  1  1  1  1
 0  1  1  0 X+1  1  1  0  1  2 X+1  1  1  3 X+2  X X+1  1  X  X  1  1  1 X+2  0  3 X+1  1  2
 0  0  X  0  0  2  0 X+2 X+2 X+2 X+2 X+2  2  2  0  2  0  2 X+2  X  X X+2  2  X  0  X  X  X  X
 0  0  0  X  2  X X+2 X+2 X+2  2  X  2 X+2  2  0  X X+2  0  2 X+2 X+2  2  2  X  2 X+2  2  X  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+50x^25+112x^26+186x^27+151x^28+78x^29+142x^30+140x^31+91x^32+38x^33+8x^34+10x^35+3x^36+10x^37+2x^38+2x^40

The gray image is a code over GF(2) with n=116, k=10 and d=50.
This code was found by Heurico 1.16 in 0.0263 seconds.