The generator matrix

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

generates a code of length 26 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+82x^20+224x^21+354x^22+776x^23+833x^24+1254x^25+1068x^26+1422x^27+803x^28+732x^29+354x^30+164x^31+70x^32+30x^33+16x^34+6x^35+3x^36

The gray image is a code over GF(2) with n=104, k=13 and d=40.
This code was found by Heurico 1.16 in 0.945 seconds.