The generator matrix

 1  1  1  1  1  1  1  1  X  0  1  1  X  0  1  1  X  0  1  1  X  X  1  1  1
 0  X  0 X+2  0 X+2  0 X+2  X  X  0 X+2 X+2  X  2 X+2 X+2  X X+2 X+2 X+2 X+2  0  0  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  2  0  2  0  2  0  2  2  2  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  0  0
 0  0  0  0  2  0  0  0  0  0  0  0  2  2  2  0  2  0  2  2  2  0  0  0  0
 0  0  0  0  0  2  0  0  0  0  0  2  2  2  0  0  2  2  0  2  0  2  2  2  0
 0  0  0  0  0  0  2  0  0  0  0  2  0  2  2  2  2  2  2  0  0  0  2  2  0
 0  0  0  0  0  0  0  2  0  0  2  0  0  2  2  2  0  0  2  0  2  2  2  2  0
 0  0  0  0  0  0  0  0  2  0  2  2  0  0  2  0  2  0  2  2  0  2  2  2  0
 0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  0  0  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 16.

Homogenous weight enumerator: w(x)=1x^0+111x^16+4x^17+143x^18+80x^19+146x^20+208x^21+854x^22+432x^23+1807x^24+600x^25+1813x^26+432x^27+876x^28+208x^29+164x^30+80x^31+128x^32+4x^33+89x^34+2x^36+6x^38+1x^40+3x^42

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 1.01 seconds.