The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  X  0  X  2  0  1  1  1  X  X  0  0  1  0
 0  X  0  X  0  0  X X+2  0  2 X+2  X  2  0  X  X  2  0  0 X+2 X+2 X+2  X  X  2  X
 0  0  X  X  0 X+2  X  0  2  X  0  X  X  X  X  X  X  0 X+2  X  0  2  2  0 X+2  2
 0  0  0  2  0  0  0  0  2  2  2  2  0  0  0  2  2  0  2  2  0  0  2  2  0  2
 0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  2  2  2  2  0  2  2  2  2  0  0
 0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  2  2  0  0  2  2  0  2  2  2  2
 0  0  0  0  0  0  2  0  2  2  2  2  0  0  2  0  2  2  0  0  2  2  2  2  2  2
 0  0  0  0  0  0  0  2  0  0  0  2  2  2  0  0  2  0  2  2  0  2  0  2  0  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+201x^20+32x^21+332x^22+160x^23+621x^24+320x^25+740x^26+320x^27+694x^28+160x^29+308x^30+32x^31+129x^32+28x^34+17x^36+1x^40

The gray image is a code over GF(2) with n=104, k=12 and d=40.
This code was found by Heurico 1.16 in 1.34 seconds.