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 2X+2 0 2X+2 0 2X+2 0 2X+2 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 2X
0 0 2X 0 0 0 2X 0 0 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 2X 0 2X 0 0 2X 0 0
0 0 0 2X 0 0 0 2X 2X 2X 2X 2X 2X 0 2X 0 0 0 0 0 2X 2X 0 2X 2X 2X 2X 2X 2X 0 0
0 0 0 0 2X 2X 2X 2X 2X 0 0 2X 0 2X 2X 0 0 0 2X 2X 2X 0 2X 2X 2X 0 0 2X 0 2X 0
generates a code of length 31 over Z4[X]/(X^2+2) 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 0.015 seconds.