The generator matrix

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

generates a code of length 26 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+10x^24+34x^25+44x^26+28x^27+5x^28+2x^29+3x^30+1x^50

The gray image is a code over GF(2) with n=104, k=7 and d=48.
This code was found by Heurico 1.16 in 0.00429 seconds.