The generator matrix

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

generates a code of length 26 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+160x^23+116x^24+288x^25+64x^26+160x^27+48x^28+96x^29+64x^31+27x^32

The gray image is a code over GF(2) with n=104, k=10 and d=46.
This code was found by Heurico 1.16 in 49.4 seconds.