The generator matrix

 1  0  0  1  1  1 X+2  1  1  0 X+2  1  2  1  1  1  1  1  1  2  0  X  1  0 X+2 X+2  1  1  2  1 X+2 X+2  1
 0  1  0  0  1 X+1  1 X+2  X  1  1 X+1  X X+1  3  2  3 X+3 X+3  1  1  1 X+1 X+2  1  1  2  0  0  2 X+2  1  1
 0  0  1  1  1  0  1  3  X  3 X+2  1  1  X  2  1 X+1 X+1  2  X  3  2 X+3  1 X+1 X+3 X+1  1  1  3  1  3 X+1
 0  0  0  X  0  0  2  2  X X+2  X X+2 X+2  2 X+2  X  2  X X+2  X  X  0  0  X  X  2 X+2  2  0  2  0  X  X
 0  0  0  0  X  2  X X+2 X+2  0 X+2  0  X  X  2 X+2  2  X X+2  0  X  0  X  2  X  X X+2  2  X  0  0 X+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+142x^27+288x^28+550x^29+733x^30+810x^31+1083x^32+1054x^33+970x^34+934x^35+746x^36+454x^37+206x^38+126x^39+56x^40+18x^41+10x^42+4x^43+2x^44+4x^45+1x^46

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 13.9 seconds.