The generator matrix

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

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+124x^23+343x^24+334x^25+490x^26+322x^27+299x^28+106x^29+5x^30+2x^31+12x^32+8x^33+1x^36+1x^38

The gray image is a code over GF(2) with n=208, k=11 and d=92.
This code was found by Heurico 1.16 in 0.032 seconds.