The generator matrix

 1  0  0  1  1  1  X  2  1  0  1  1  1 X+2  1  X  1  1  1  X  2  0  2  1  0  2 X+2  1  2  0  2  1  1
 0  1  0  1  0 X+3  1  X X+1  1  X  3  2  1 X+3  1 X+2 X+3 X+2  X  1 X+2  1  2  1  1  0 X+2  1  1  1  2  2
 0  0  1  1  1  0  1  1 X+3 X+2 X+1 X+2  X  1  X  0 X+3  1  0  1  X  1 X+3 X+2 X+2  3  1  3  X X+3 X+3  2  0
 0  0  0  X  0 X+2  2  X  0 X+2 X+2  0  X  2  0 X+2 X+2  2  0  X  0  2  0  X X+2  X X+2 X+2  X  2 X+2 X+2  X
 0  0  0  0  X  0  2 X+2 X+2  X  2 X+2  X X+2  0  0 X+2  0  X  2 X+2 X+2 X+2  2  X  2 X+2 X+2  0 X+2 X+2  X  0
 0  0  0  0  0  2  2  2  2  2  2  0  2  0  2  0  0  0  2  0  2  2  0  2  0  0  0  2  2  2  2  0  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+144x^26+192x^27+759x^28+740x^29+1408x^30+1580x^31+2273x^32+2112x^33+2350x^34+1656x^35+1497x^36+708x^37+564x^38+156x^39+165x^40+24x^41+46x^42+8x^44+1x^48

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 5.02 seconds.