The generator matrix

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

generates a code of length 33 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+64x^30+254x^32+512x^33+128x^34+64x^38+1x^64

The gray image is a code over GF(2) with n=264, k=10 and d=120.
This code was found by Heurico 1.16 in 0.032 seconds.