The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  0 X+2  1  1  0  1  1  1 X+2  1  X  2
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0 X+1  1  1 X+2  3  1  0 X+2 X+1  1 X+3  0  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  0  0  0  2  2  2  0
 0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  2  2  2  2  0  2  0
 0  0  0  0  2  0  0  0  0  2  2  2  0  2  2  2  0  0  2  0  0  2  0  0  2  0
 0  0  0  0  0  2  0  0  2  2  0  2  0  0  2  0  2  2  2  2  0  2  0  2  2  0
 0  0  0  0  0  0  2  0  2  0  0  2  2  0  0  2  2  0  2  0  0  2  2  2  2  2
 0  0  0  0  0  0  0  2  2  2  2  0  0  0  0  2  2  2  2  0  2  2  2  0  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+114x^20+32x^21+296x^22+160x^23+733x^24+320x^25+824x^26+320x^27+696x^28+160x^29+280x^30+32x^31+105x^32+8x^34+14x^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 0.466 seconds.