The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+153x^20+16x^21+240x^22+128x^23+420x^24+224x^25+320x^26+128x^27+266x^28+16x^29+80x^30+51x^32+5x^36

The gray image is a code over GF(2) with n=100, k=11 and d=40.
This code was found by Heurico 1.16 in 15.5 seconds.