The generator matrix

 1  0  0  1  1  1  X  2  1  1  1  X  1  1 X+2  X  1 X+2  X  1  X  1  X  2  1
 0  1  0  1  0 X+3  1  X X+2  1  X  1 X+3 X+2  X  1  3  1 X+2  1  1 X+3  2  1  0
 0  0  1  1  1  0  1  1  X  0 X+1  X  1 X+3  1  1  2 X+1  1  2 X+1  3  1 X+3  0
 0  0  0  X  0 X+2  2  X  2  2 X+2 X+2  2  0 X+2  2  0  0  X X+2  X  2  X  0  X
 0  0  0  0  X  0  2 X+2 X+2  X  2 X+2  0  0  2 X+2  0  X  0  X X+2 X+2  X  X  X
 0  0  0  0  0  2  2  2  2  0  2  2  0  2  0  2  2  0  0  2  2  2  0  0  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+19x^18+154x^19+421x^20+790x^21+1234x^22+1872x^23+2340x^24+2548x^25+2574x^26+1930x^27+1219x^28+734x^29+322x^30+140x^31+50x^32+24x^33+11x^34+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 3.09 seconds.