The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  0  1  1  1  X  1  0  1  X  1
 0  X  0 X+2  0 X+2  0 X+2  2 X+2  0 X+2  X  0 X+2  2 X+2  0  2 X+2  0  2 X+2  X  X X+2  X X+2  X  X  X X+2  0
 0  0  2  0  0  0  0  0  2  0  0  2  2  2  0  2  0  0  2  0  2  0  2  2  2  2  0  2  0  0  2  0  0
 0  0  0  2  0  0  0  2  0  0  0  2  0  0  2  0  2  2  2  0  2  2  2  2  2  0  0  0  2  0  2  0  0
 0  0  0  0  2  0  0  0  0  2  2  0  2  0  2  2  0  2  2  0  0  2  0  2  2  2  2  2  0  0  2  0  2
 0  0  0  0  0  2  0  2  0  2  2  0  0  2  2  0  0  0  2  2  0  2  2  0  2  0  0  2  2  0  0  0  2
 0  0  0  0  0  0  2  0  2  0  2  0  0  0  2  0  2  2  2  2  0  2  0  0  0  2  2  0  2  0  2  2  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+90x^28+116x^30+64x^31+192x^32+128x^33+152x^34+64x^35+146x^36+52x^38+13x^40+4x^44+1x^48+1x^56

The gray image is a code over GF(2) with n=132, k=10 and d=56.
This code was found by Heurico 1.16 in 0.0504 seconds.