The generator matrix

 1  0  0  1  1  1  2  0  1  1  X  1  1  X  1 X+2  2  1  1  1  1  1  1  1  1 X+2  1  0  1
 0  1  0  0  1  1  1  X  2  3  1  X X+3  1  0  1  1 X+2 X+2  3 X+2  3  2  X X+1  1  0  1  0
 0  0  1  1  2  3  1  1  X X+2  0 X+1  3  1 X+1 X+2 X+1  0  1  X  X X+1 X+3  1 X+1 X+1  3  0  1
 0  0  0  2  0  2  2  2  2  2  2  0  0  0  2  0  2  2  0  0  2  2  0  2  2  2  0  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+62x^25+56x^26+262x^27+96x^28+204x^29+45x^30+148x^31+28x^32+46x^33+26x^34+38x^35+2x^36+8x^37+1x^38+1x^40

The gray image is a code over GF(2) with n=116, k=10 and d=50.
This code was found by Heurico 1.11 in 0.0132 seconds.