The generator matrix

 1  0  0  1  1  1  X  1  1  1  2  0  X  1  X X+2  1 X+2 X+2  1  1  1  0  X  X
 0  1  0  1 X+2 X+3  1  0  0 X+1  1  1  X X+3  1  1  2  0  1  X  3 X+2  1  1  1
 0  0  1  1 X+3 X+2  1 X+2 X+1 X+1  X X+1  1  X  X  0  1  1 X+1  X X+1  0  0 X+2  1
 0  0  0  2  0  0  0  0  0  2  2  2  2  0  0  2  0  2  0  0  2  0  0  2  2
 0  0  0  0  2  0  0  0  2  0  2  2  2  0  0  2  2  0  0  2  2  0  2  0  0
 0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  0  2  0  2  2  0  2  2  0  2
 0  0  0  0  0  0  2  0  0  0  0  2  0  0  2  2  2  2  2  0  2  0  2  0  2
 0  0  0  0  0  0  0  2  2  2  2  2  0  2  0  0  2  0  2  0  0  0  2  2  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+58x^18+146x^19+396x^20+648x^21+1468x^22+1568x^23+2689x^24+2368x^25+2696x^26+1740x^27+1464x^28+552x^29+372x^30+128x^31+53x^32+16x^33+14x^34+2x^35+4x^36+1x^40

The gray image is a code over GF(2) with n=100, k=14 and d=36.
This code was found by Heurico 1.16 in 2.9 seconds.