The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 2 X 1 2
0 X 0 0 0 X X+2 X 2 2 0 0 X X+2 2 0 0 X X+2 2 X 2 2 X+2 0
0 0 X 0 X X X 0 2 0 X X+2 X+2 X+2 2 X X 2 0 0 2 2 0 X+2 X
0 0 0 X X 0 X X+2 0 X X 2 2 X 0 X+2 2 0 2 X 2 X X 2 X+2
0 0 0 0 2 0 0 0 2 2 2 0 2 2 0 0 2 2 0 2 0 2 0 2 2
0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 2 2 2 2 2 2 0 2 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+138x^20+40x^21+204x^22+288x^23+189x^24+368x^25+174x^26+288x^27+179x^28+40x^29+96x^30+34x^32+6x^34+3x^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 0.12 seconds.