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

generates a code of length 31 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+31x^30+448x^31+31x^32+1x^62

The gray image is a code over GF(2) with n=248, k=9 and d=120.
This code was found by Heurico 1.16 in 0.578 seconds.