The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2+2  1  1 X+2  1  1  0  1  1  1 X^2+X  1  1  1 X^2+2 X+2  1  1  1  1  1  1 X^2  1  1 X^2  1
 0  1 X+1 X^2+X X^2+1  1 X^2+2 X^2+X+3  1 X+2  3  1  0 X+1  1 X^2+X X^2+2 X^2+1  1 X+2 X^2+X+3  3  1  1  0 X^2+X  2 X^2+X+2 X^2+2 X^2 X^2+2 X+2  X X^2  0
 0  0  2  0  2  0  2  0  2  2  0  2  0  0  0  2  2  0  0  0  2  2  2  2  2  0  2  2  0  0  0  0  2  0  0
 0  0  0  2  2  2  2  0  0  0  2  2  2  2  2  2  0  0  0  0  2  0  2  0  2  0  0  0  2  0  2  2  2  2  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+39x^32+336x^33+22x^34+256x^35+24x^36+288x^37+40x^38+16x^41+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.