The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+44x^16+177x^18+347x^20+128x^21+829x^22+512x^23+1657x^24+768x^25+1698x^26+512x^27+854x^28+128x^29+322x^30+153x^32+45x^34+15x^36+1x^38+1x^40

The gray image is a code over GF(2) with n=100, k=13 and d=32.
This code was found by Heurico 1.16 in 1 seconds.