The generator matrix

 1  0  1  1  1  2  X  1  1  1  1  0  1  1  1  X  0 X+2  X  1  1  1  0  1  X  X  1  1  0
 0  1  1 X+2 X+3  1  1  2  3  X X+1  1  3 X+1 X+3  1  1  1  1  1 X+1  3  1  2  1  X  2  1  0
 0  0  X  0 X+2  X X+2  X  2 X+2  0  0  2  2  X  X  X  0  2  X X+2 X+2  2  X X+2  X  2  2  X
 0  0  0  2  0  2  0  0  2  2  0  2  2  0  2  2  0  2  0  2  0  0  2  0  2  0  0  0  2
 0  0  0  0  2  2  0  2  0  0  2  0  2  0  0  0  2  2  2  2  0  2  2  0  2  2  2  0  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+68x^25+139x^26+120x^27+130x^28+148x^29+120x^30+124x^31+91x^32+36x^33+24x^34+8x^35+2x^36+4x^37+4x^38+4x^39+1x^42

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 0.152 seconds.