The generator matrix

 1  0  0  0  1  1  1 2X+2  1 3X+2  1  0 3X  1  1  2 3X 3X+2  1  1 2X  1  1  2  1  1  1  X  1  1 3X+2  1
 0  1  0  0  0  3  1  1  2 2X+2 2X+1  1  1 3X  1 X+2  1  1 X+2 3X+3  1  2 3X+2 2X X+3 X+1  X  1 2X+1 2X+1  1  0
 0  0  1  0  1 2X+3  0 2X+3 X+1  1 X+3 3X+3 3X+2 2X+2 X+2  1  0 2X  X 3X+1 X+3 2X+1 3X+1 2X+2 X+3 2X 3X X+3 2X+1 2X+2 3X  0
 0  0  0  1  1 3X+2 2X+3 3X+3  X 3X+3 3X+3 2X+2 X+1 3X+1 3X 3X+1  X X+1 3X+1 X+1  1 3X+2  3  1  1 X+1  2 2X+3  0  0  3 2X+2
 0  0  0  0  2  2  2  0  2  0  2 2X  0 2X+2 2X  2 2X+2  2  0 2X  2 2X  0 2X+2  2  0 2X+2  2 2X+2  2 2X+2 2X+2

generates a code of length 32 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+64x^25+787x^26+2378x^27+7477x^28+15750x^29+31640x^30+44888x^31+55503x^32+45446x^33+32441x^34+15558x^35+7037x^36+2186x^37+726x^38+164x^39+62x^40+26x^41+6x^42+4x^43

The gray image is a code over GF(2) with n=256, k=18 and d=100.
This code was found by Heurico 1.16 in 225 seconds.