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.