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  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  X  1  1  1  X  1
 0  2  0  0  0  0  0  0  0  2  2  2  0  2  0  0  2  0  2  2  0  0  0  0  0  2  0  2  0  0  0  2  2  2  0  2  0  0  2  2  2  0  2  0  2  0  2  0  0  2  0  2  2  2  0  0  2  2  2  0
 0  0  2  0  0  0  0  0  2  2  2  2  0  0  0  2  0  2  2  0  0  0  0  0  0  0  2  2  2  2  2  2  0  0  0  2  0  0  0  2  0  0  0  2  2  2  2  2  2  0  0  2  2  0  0  2  0  2  2  0
 0  0  0  2  0  0  0  0  2  0  0  2  0  2  0  0  0  0  0  0  2  2  2  2  2  0  2  0  2  2  2  2  0  0  2  2  0  2  0  2  2  2  2  2  2  0  0  2  0  0  0  0  0  0  0  0  2  2  2  0
 0  0  0  0  2  0  0  0  2  0  2  2  2  0  0  2  2  0  0  2  2  2  2  2  0  0  0  2  0  0  0  2  0  0  0  2  2  0  0  2  2  2  2  2  2  2  2  0  2  2  2  0  2  0  2  0  2  0  0  2
 0  0  0  0  0  2  0  0  2  0  2  0  0  2  2  2  0  0  2  2  0  0  0  2  2  2  2  0  2  0  0  2  0  2  0  2  2  2  0  2  0  0  2  2  0  2  0  0  2  0  2  0  0  0  2  2  2  2  2  2
 0  0  0  0  0  0  2  0  2  2  0  0  0  2  2  0  2  2  2  0  0  0  2  2  0  0  0  0  2  2  0  0  2  0  2  2  0  0  2  2  2  2  0  2  0  0  2  0  2  2  0  2  0  0  0  2  2  2  0  2
 0  0  0  0  0  0  0  2  2  2  0  2  2  0  2  0  0  0  2  2  0  2  2  0  0  0  0  0  2  0  2  2  0  2  0  0  2  2  2  2  2  0  0  0  0  2  2  2  0  2  0  0  2  2  2  2  2  2  0  0

generates a code of length 60 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+22x^52+44x^54+37x^56+88x^58+256x^59+154x^60+256x^61+96x^62+18x^64+8x^66+10x^68+20x^70+7x^72+6x^76+1x^112

The gray image is a code over GF(2) with n=240, k=10 and d=104.
This code was found by Heurico 1.16 in 0.182 seconds.