The generator matrix

 1  0  1  1  1 X^2+X+2  1  1  X  1  1 X^2+X  1  1 X^2+2  1  1  1  1  2  1  1  2 X^2+X  X  1
 0  1 X+1 X^2+X X^2+1  1 X^2+X+2 X^2+X+1  1  X X+1  1 X^2+2  3  1  2 X^2+3 X+2 X^2  1 X+1 X^2+3  1  1  2  2
 0  0 X^2  0  2 X^2+2 X^2+2 X^2+2 X^2 X^2  2  0  0  2  0 X^2 X^2+2  2 X^2 X^2  0 X^2+2 X^2  2 X^2  2
 0  0  0  2  2  2  0  2  0  2  0  2  2  0  2  0  0  0  2  0  2  2  2  0  2  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+154x^23+194x^24+626x^25+146x^26+604x^27+148x^28+140x^29+12x^30+10x^31+9x^32+2x^33+2x^34

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 0.031 seconds.