The generator matrix

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

generates a code of length 33 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+188x^26+634x^27+1345x^28+1704x^29+2615x^30+3390x^31+4171x^32+4370x^33+4402x^34+3536x^35+2919x^36+1646x^37+981x^38+510x^39+230x^40+70x^41+36x^42+10x^43+6x^44+2x^45+2x^46

The gray image is a code over GF(2) with n=132, k=15 and d=52.
This code was found by Heurico 1.13 in 6.64 seconds.