The generator matrix

 1  0  0  0  1  1  1  2  0  1  1  X  1  1  0  1 X+2  X  1  1  1  0  1  2  1  0  X  1  1  1  1  1  1
 0  1  0  0  0  1  1  1  1 X+2  X X+2 X+3  3  1  0  1  2  3  2  1  1 X+3 X+2  0  1  X  3 X+2  0 X+1 X+3  0
 0  0  1  0  1  1  0  3 X+1  2  3  1 X+1  0 X+2  X  1  1  2 X+2 X+2  0 X+2  X  0  3  1 X+1 X+3 X+3  1  2  0
 0  0  0  1  1  0  1  1  2 X+1 X+2  3  1  0  3 X+3  X  1 X+1  2  X X+1  3  1 X+1 X+3 X+2  3  2 X+3  X X+3  0
 0  0  0  0  2  0  2  0  0  0  2  2  0  2  0  2  2  0  0  0  0  2  2  2  2  0  0  2  2  2  0  0  2
 0  0  0  0  0  2  2  2  2  0  0  0  2  0  0  2  0  2  2  2  2  0  0  0  0  0  2  2  0  2  0  2  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+48x^26+340x^27+571x^28+1102x^29+1132x^30+1980x^31+1844x^32+2334x^33+1776x^34+2048x^35+1275x^36+1134x^37+420x^38+236x^39+79x^40+34x^41+16x^42+4x^43+6x^44+4x^45

The gray image is a code over GF(2) with n=132, k=14 and d=52.
This code was found by Heurico 1.16 in 4.34 seconds.