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 X 2 1 1 1 1 1 X 1 1 2 1 1 X 1 X 1 1 0 1 1 1 X 1 X 1 2 1 X 0 1 1 X 1
0 X 0 0 0 0 0 2 2 X X+2 X X X X+2 X 0 X+2 2 X 2 X 0 X 2 X+2 X+2 2 X+2 2 X+2 X 0 X 2 X X 0 2 0 2 X+2 X X+2 0 0 0 X 0 X 0 X+2 2 2 X+2 0 X X+2 X 0
0 0 X 0 0 2 X+2 X X X X X X+2 0 0 0 2 2 X+2 X 2 0 0 X+2 2 2 0 0 0 X+2 X+2 X X+2 0 X 2 X+2 2 X X+2 X X X X+2 X X 2 X 0 0 2 X+2 0 X+2 X+2 X X+2 X+2 X+2 X
0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 0 0 X X 2 X 2 X+2 0 X+2 0 2 X 2 X 0 X X X 0 X 2 X 2 X+2 2 0 X+2 X X 2 X 0 2 2 0 X+2 2 X+2 X 0 0 0 X X 2 X X 0
0 0 0 0 X X 2 X+2 X X+2 2 2 X 2 X+2 X X 2 2 X+2 0 X+2 0 X+2 X+2 X+2 2 X 0 X 0 2 X 2 2 0 0 2 0 X+2 2 X X+2 X+2 0 X+2 0 0 X+2 X X X X 2 2 X+2 2 0 0 X
generates a code of length 60 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 53.
Homogenous weight enumerator: w(x)=1x^0+48x^53+89x^54+88x^55+173x^56+196x^57+166x^58+220x^59+245x^60+188x^61+154x^62+148x^63+79x^64+72x^65+42x^66+22x^67+33x^68+20x^69+26x^70+16x^71+13x^72+4x^73+2x^74+2x^75+1x^94
The gray image is a code over GF(2) with n=240, k=11 and d=106.
This code was found by Heurico 1.16 in 0.353 seconds.