The generator matrix

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

generates a code of length 32 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+226x^26+1392x^27+3879x^28+8074x^29+15579x^30+21960x^31+28151x^32+22584x^33+16330x^34+7914x^35+3345x^36+1178x^37+311x^38+124x^39+14x^40+4x^41+2x^42+2x^43+2x^44

The gray image is a code over GF(2) with n=256, k=17 and d=104.
This code was found by Heurico 1.16 in 58.3 seconds.