The generator matrix

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

generates a code of length 25 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+136x^21+224x^22+440x^23+765x^24+954x^25+912x^26+362x^27+96x^28+124x^29+48x^30+28x^31+1x^32+2x^33+2x^35+1x^40

The gray image is a code over GF(2) with n=200, k=12 and d=84.
This code was found by Heurico 1.16 in 27.3 seconds.