The generator matrix

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

generates a code of length 26 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+160x^23+778x^24+754x^25+1029x^26+484x^27+527x^28+218x^29+123x^30+8x^31+6x^32+8x^33

The gray image is a code over GF(2) with n=208, k=12 and d=92.
This code was found by Heurico 1.16 in 0.047 seconds.