The generator matrix

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

generates a code of length 33 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+180x^29+208x^30+370x^31+220x^32+282x^33+169x^34+238x^35+90x^36+152x^37+66x^38+46x^39+9x^40+10x^41+5x^42+2x^43

The gray image is a code over GF(2) with n=132, k=11 and d=58.
This code was found by Heurico 1.16 in 59.6 seconds.