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 X 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 X 1 2 1 1 1 X 1 1 1 1 1 1
0 2X 0 0 0 0 0 0 0 2X 2X 2X 0 2X 0 0 2X 0 2X 2X 0 0 0 0 0 2X 0 2X 0 2X 2X 0 2X 0 0 2X 0 0 2X 2X 2X 2X 2X 0 2X 2X 0 2X 2X 0 2X 0 0 2X 2X 0 2X 2X 0 0
0 0 2X 0 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 0 2X 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 0 2X 0 2X 0 2X 0 0 0 2X 0 0 2X 2X 2X 2X 0 0 0 2X 2X 0 2X 0 0 2X 2X 2X 0 0
0 0 0 2X 0 0 0 0 2X 0 0 2X 0 2X 0 0 0 0 0 0 2X 2X 2X 2X 2X 0 2X 0 2X 2X 0 2X 0 2X 2X 2X 0 2X 0 2X 0 2X 0 0 2X 0 0 2X 2X 2X 2X 2X 0 2X 2X 0 0 0 2X 0
0 0 0 0 2X 0 0 0 2X 0 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 0 0 0 2X 0 2X 0 0 0 0 0 2X 2X 0 0 2X 0 2X 2X 2X 0 0 2X 0 2X 0 2X 2X 0 2X 0 2X 0 2X 2X 0
0 0 0 0 0 2X 0 0 2X 0 2X 0 0 2X 2X 2X 0 0 2X 2X 0 0 0 2X 2X 2X 2X 0 0 2X 0 2X 2X 0 0 2X 2X 2X 0 0 0 2X 0 2X 2X 0 0 0 2X 0 0 0 2X 2X 0 2X 2X 2X 2X 0
0 0 0 0 0 0 2X 0 2X 2X 0 0 0 2X 2X 0 2X 2X 2X 0 0 0 2X 2X 0 0 0 0 0 0 2X 2X 0 2X 2X 2X 0 0 2X 2X 0 2X 2X 2X 2X 0 2X 2X 0 0 0 2X 2X 0 0 0 2X 2X 2X 0
0 0 0 0 0 0 0 2X 2X 2X 0 2X 2X 0 2X 0 0 0 2X 2X 0 2X 2X 0 0 0 0 0 2X 2X 0 2X 2X 0 0 0 2X 2X 2X 2X 2X 0 0 0 2X 2X 0 0 0 2X 0 0 2X 2X 2X 2X 0 0 0 0
generates a code of length 60 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 52.
Homogenous weight enumerator: w(x)=1x^0+34x^52+29x^54+39x^56+32x^57+36x^58+352x^59+1044x^60+352x^61+20x^62+32x^63+19x^64+18x^66+8x^68+11x^70+5x^72+10x^74+2x^76+3x^78+1x^110
The gray image is a code over GF(2) with n=480, k=11 and d=208.
This code was found by Heurico 1.16 in 0.25 seconds.