The generator matrix

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

generates a code of length 60 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+36x^51+133x^52+194x^53+194x^54+496x^55+474x^56+830x^57+433x^58+982x^59+632x^60+1080x^61+468x^62+844x^63+444x^64+408x^65+142x^66+180x^67+86x^68+38x^69+30x^70+20x^71+16x^72+10x^73+9x^74+2x^75+4x^76+4x^78+1x^80+1x^84

The gray image is a code over GF(2) with n=240, k=13 and d=102.
This code was found by Heurico 1.16 in 3.99 seconds.