The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  0  1  1  1  1  1  0  2  1  1
 0  X  0  X  0  2  X X+2  0  2  X X+2  0  0 X+2 X+2  2  X  2  X  0  X  0  2  X  0  X  2  2
 0  0  X  X  0  X X+2  2  0  X  X  0  0 X+2  X  2  X X+2  0  2 X+2  X  2  2  0  X  X  X X+2
 0  0  0  2  0  0  2  0  2  2  0  2  2  2  0  2  0  2  2  0  0  2  2  0  0  0  0  0  2
 0  0  0  0  2  2  2  2  2  2  0  2  0  0  2  0  2  2  0  2  2  2  2  2  2  0  0  0  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+24x^25+56x^26+72x^27+70x^28+88x^29+88x^30+48x^31+22x^32+8x^33+16x^34+8x^35+2x^36+8x^37+1x^48

The gray image is a code over GF(2) with n=116, k=9 and d=50.
This code was found by Heurico 1.16 in 0.0184 seconds.