The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 2 1 1 X 0 1 X 1 1 1 X 1 1 X
0 X 0 0 0 X X+2 X 2 2 X 0 0 X X X+2 0 0 X X 2 2 X X X+2 2 X+2 0 0 X X+2 X+2 X
0 0 X 0 X X X 0 2 0 X+2 X X+2 0 X+2 0 2 X+2 0 2 2 0 X X X 2 2 2 X+2 X+2 X 2 X+2
0 0 0 X X 0 X X+2 0 X 2 X 2 X+2 X 0 2 X X+2 X+2 X X+2 2 X+2 2 X X 2 0 0 2 2 0
0 0 0 0 2 0 0 0 2 2 2 2 0 2 0 2 2 0 2 2 2 0 0 0 2 0 2 0 0 2 0 2 2
0 0 0 0 0 2 0 2 0 0 0 2 2 0 2 0 2 2 2 0 2 2 0 0 2 0 2 0 0 2 2 0 0
generates a code of length 33 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 28.
Homogenous weight enumerator: w(x)=1x^0+253x^28+40x^29+264x^31+383x^32+432x^33+240x^35+267x^36+40x^37+8x^39+112x^40+7x^44+1x^52
The gray image is a code over GF(2) with n=132, k=11 and d=56.
This code was found by Heurico 1.16 in 2.9 seconds.