The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+144x^23+926x^24+516x^25+1104x^26+460x^27+652x^28+156x^29+112x^30+4x^31+21x^32

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 0.062 seconds.