The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+80x^23+110x^24+64x^26+160x^27+64x^28+16x^31+15x^32+2x^40

The gray image is a code over GF(2) with n=104, k=9 and d=46.
This code was found by Heurico 1.16 in 81.1 seconds.