The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  1  2 X+2 X+2 X+2  1  1  X  X  0  2  1  X  1  2  2  1  X  1  0  0  1
 0  1  0  0  0  1  3  1  2  2 X+3  3  1  1 X+2  1  2  X  X  1 X+2 X+2  2  1 X+3  1  1 X+1  1  1  1  2  2
 0  0  1  0  1  1  2  3 X+2  3 X+1  2 X+1 X+2  1  2 X+1 X+2  1  0  2  1  1  1  0  3 X+2  X  X X+1  2  1  2
 0  0  0  1  1  2  1  1  3  X  3  0  X  3 X+3  1  0 X+1  1  X  1  2 X+3 X+3  X  2 X+2 X+1  X  X X+1  2  0
 0  0  0  0  X  0  0  0  0  2  2  2  2  2  2 X+2 X+2 X+2 X+2  X X+2  X  X X+2  0  2  0  2  X  X X+2  X  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+52x^26+332x^27+590x^28+968x^29+1360x^30+1708x^31+2073x^32+2146x^33+2202x^34+1798x^35+1290x^36+940x^37+494x^38+248x^39+110x^40+42x^41+18x^42+10x^43+2x^46

The gray image is a code over GF(2) with n=132, k=14 and d=52.
This code was found by Heurico 1.13 in 1.79 seconds.