The generator matrix

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

generates a code of length 33 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+126x^26+892x^27+2675x^28+7562x^29+16091x^30+30886x^31+45486x^32+54096x^33+45898x^34+31722x^35+16056x^36+7030x^37+2447x^38+834x^39+227x^40+92x^41+14x^42+2x^43+3x^44+4x^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 232 seconds.