The generator matrix

 1  0  0  0  0  1  1  1 X+2  1  1  1  1  2  2  1  1  1 X+2  1  1  1  1  1  1
 0  1  0  0  0  0  2  0  2 X+1  3 X+1  1  1 X+2  1  X X+1  1 X+2 X+3  0  X  0  2
 0  0  1  0  0  0  1  1  1  3 X+1 X+1  X  3  1  0  X X+2  2  1 X+2 X+1  1  X  2
 0  0  0  1  0  1  1  X X+3  2 X+3  3  0 X+2  2 X+2 X+3  3 X+3  0  1  X  X  0 X+1
 0  0  0  0  1  1  X X+1 X+1  1 X+1 X+2  X  0 X+1  1  0 X+3 X+2  0  2  0  1 X+3 X+3
 0  0  0  0  0  2  0  2  0  0  2  0  2  2  0  0  0  2  0  2  0  0  2  0  2

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+169x^18+752x^19+1596x^20+2802x^21+5095x^22+7316x^23+9459x^24+10826x^25+9681x^26+7644x^27+5087x^28+2822x^29+1413x^30+540x^31+240x^32+62x^33+26x^34+4x^35+1x^36

The gray image is a code over GF(2) with n=100, k=16 and d=36.
This code was found by Heurico 1.13 in 15.5 seconds.