The generator matrix

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

generates a code of length 35 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+71x^32+182x^33+86x^34+368x^35+56x^36+200x^37+40x^38+16x^39+2x^49+2x^50

The gray image is a code over GF(2) with n=280, k=10 and d=128.
This code was found by Heurico 1.16 in 0.031 seconds.