The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  X  1  1
 0  X  0 X^2+X X^2 X^2+X+2 X^2+2  X  0 X^2+X  2 X+2 X^2+2 X^2+X X^2+2 X^2+X  2  0 X+2 X^2  X  0 X^2+X+2 X^2+2 X^2  X
 0  0 X^2+2  0 X^2 X^2  2 X^2  2  2 X^2 X^2+2 X^2+2 X^2+2  0  0 X^2+2 X^2+2  2 X^2+2  2  0 X^2 X^2  0 X^2+2
 0  0  0  2  2  0  2  2  0  2  0  2  2  0  2  0  2  2  2  0  0  2  2  0  0  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+64x^23+66x^24+96x^25+640x^26+32x^27+56x^28+32x^29+32x^31+4x^32+1x^48

The gray image is a code over GF(2) with n=208, k=10 and d=92.
This code was found by Heurico 1.16 in 0.11 seconds.