The generator matrix

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

generates a code of length 33 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+76x^26+902x^27+2718x^28+7234x^29+16655x^30+31102x^31+45805x^32+52364x^33+46725x^34+31642x^35+16372x^36+6932x^37+2505x^38+826x^39+190x^40+60x^41+23x^42+8x^43+2x^44+2x^45

The gray image is a code over GF(2) with n=264, k=18 and d=104.
This code was found by Heurico 1.16 in 229 seconds.