The generator matrix

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

generates a code of length 35 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+10x^33+18x^34+206x^35+6x^36+6x^37+4x^38+2x^39+1x^40+2x^50

The gray image is a code over GF(2) with n=280, k=8 and d=132.
This code was found by Heurico 1.16 in 0.046 seconds.