The generator matrix

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

generates a code of length 33 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+140x^27+310x^28+592x^29+504x^30+1148x^31+711x^32+1422x^33+720x^34+1116x^35+584x^36+518x^37+184x^38+148x^39+56x^40+26x^41+8x^43+2x^44+2x^45

The gray image is a code over GF(2) with n=132, k=13 and d=54.
This code was found by Heurico 1.16 in 14.7 seconds.