The generator matrix

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

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+39x^50+140x^51+254x^52+312x^53+532x^54+824x^55+1014x^56+1240x^57+1498x^58+1550x^59+1642x^60+1732x^61+1401x^62+1260x^63+981x^64+624x^65+527x^66+312x^67+172x^68+108x^69+82x^70+68x^71+28x^72+16x^73+16x^74+6x^75+4x^76+1x^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 13.6 seconds.