The generator matrix

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

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+135x^26+220x^27+678x^28+912x^29+1210x^30+1764x^31+2071x^32+2360x^33+2039x^34+1892x^35+1388x^36+800x^37+476x^38+220x^39+144x^40+24x^41+41x^42+6x^44+2x^46+1x^50

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 5.56 seconds.