The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  2  1  1  1  X  1  1  X  1  1  1  2  1  0  1  1  1  0  1 X+2  2  1 X+2  1  1  1  1  0  0  0  1  1  0  1  X X+2  1  0  1  1  1  1  1  1  1  X  1  1
 0  1  1  0  1  1  X X+3  1 X+2  1 X+3  1  0 X+1 X+2  1  3  2  1 X+1  3  X  1  2  1 X+3  0  3  1  1  1  1 X+3  1 X+2  3 X+2  0  1  1  X  3  X  1 X+3  1  1  X  1  X X+1  3  0  1 X+1  0  X X+2  0
 0  0  X  0  0  0  0  0  0  2  2 X+2  X  X  2  X X+2  X  X X+2  X  0 X+2 X+2  2  0  X  0  0 X+2 X+2  X  2 X+2  2  0 X+2 X+2  2 X+2 X+2  X  2  0  X  0  0  X  X X+2 X+2  0  2 X+2 X+2 X+2  2  0  0  0
 0  0  0  X  0  0  X  2  X  2 X+2  2 X+2  2  X  0  X X+2  X  0  X X+2 X+2  0  X  0 X+2  X  2  X  X  X  0  X  2 X+2  2  0 X+2  2 X+2  X X+2  0 X+2  0  X  X  X  2  X  0  X X+2  2  0  0  X  0  0
 0  0  0  0  X  0  0 X+2  2  0  2  2 X+2  X X+2  X  X  2  X  X  0  X  X X+2  0  2 X+2  X  0  0  X  0  X X+2  X X+2 X+2  0 X+2  0  X  0  2  0  2  0  X  X  X X+2 X+2  X X+2  2  0  2  X  2  2  0
 0  0  0  0  0  2  0  0  2  0  2  0  2  0  0  0  2  0  0  2  2  2  2  0  2  0  0  0  2  0  2  2  2  0  0  0  2  0  0  2  0  2  2  2  2  0  0  0  2  2  2  2  2  0  0  2  2  0  2  2
 0  0  0  0  0  0  2  2  0  2  2  2  2  0  0  2  0  2  2  2  2  0  2  2  2  2  0  2  0  0  2  2  2  2  2  2  2  0  0  2  2  0  0  0  0  2  2  2  0  0  2  0  2  2  2  2  2  2  2  0

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+118x^51+212x^52+396x^53+549x^54+698x^55+1020x^56+1310x^57+1405x^58+1558x^59+1695x^60+1602x^61+1539x^62+1374x^63+922x^64+672x^65+457x^66+304x^67+209x^68+104x^69+72x^70+40x^71+29x^72+10x^73+8x^74+4x^75+8x^76+2x^77+4x^78

The gray image is a code over GF(2) with n=240, k=14 and d=100.
This code was found by Heurico 1.16 in 13.1 seconds.