The generator matrix
1 0 1 1 1 0 1 1 0 1 2 1 1 2 1 X 0 1 X 2 0 1 X 2 1
0 1 1 0 1 1 0 X+1 1 2 1 X+1 0 1 X+3 1 X 2 X+2 1 1 X 2 1 0
0 0 X 0 0 0 0 0 0 2 2 X X X+2 X+2 X 2 X+2 2 X+2 X X 0 2 0
0 0 0 X 0 0 X+2 2 X+2 0 X X X 0 X+2 X+2 X+2 X X+2 X+2 X X X X+2 0
0 0 0 0 X X+2 X+2 2 X X 0 2 0 2 X X+2 X+2 X 2 2 2 X+2 0 0 0
0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 0 0 2 2 2 0 0 2 2 0
generates a code of length 25 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+59x^18+114x^19+246x^20+392x^21+649x^22+916x^23+1076x^24+1250x^25+1129x^26+922x^27+659x^28+396x^29+199x^30+96x^31+63x^32+10x^33+12x^34+2x^36+1x^44
The gray image is a code over GF(2) with n=100, k=13 and d=36.
This code was found by Heurico 1.16 in 1.04 seconds.