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

generates a code of length 60 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+62x^50+110x^51+152x^52+232x^53+288x^54+296x^55+487x^56+554x^57+697x^58+858x^59+800x^60+892x^61+671x^62+560x^63+456x^64+272x^65+248x^66+178x^67+118x^68+92x^69+64x^70+40x^71+23x^72+6x^73+16x^74+6x^75+10x^76+1x^78+1x^80+1x^90

The gray image is a code over GF(2) with n=240, k=13 and d=100.
This code was found by Heurico 1.16 in 5.06 seconds.