The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  0 X+2  1  1  1  X  1  1  0  1  2  1  0  1  1  2  1  1  2  1  1  1  1  1 X+2  1  1  X  1  0  1  1  0  1  2  X  2  2  1  1  1 X+2  0  X  1  X
 0  1  1  0 X+3  1  X X+1  1  3  1 X+2 X+3  0  1  1 X+2  1  2  1 X+1  2  1  3  1  X  1  3  3  1 X+1 X+1  1  X X+1  2  2  3  1  X  0  1  0  1  2  3  1 X+1  1  1  0  X X+1 X+2 X+2  1  1  1  0  0
 0  0  X  0 X+2  0  0  X  0 X+2  0  0  0  X X+2  X  X  2  X X+2  0  2  2  0 X+2 X+2  2  X  2 X+2  0  2  2  X  0 X+2 X+2 X+2  X  2 X+2  2  2  X  X  2  X  0 X+2  2  2  X  2  2 X+2 X+2 X+2  0  0  0
 0  0  0  X  0  0  X  X  X  X X+2  2  X  X  X  X  X  X  2  0  2 X+2  X  2  0  2  2  X X+2  2 X+2  2  X  0  0  0 X+2  2  X  0  2  X  X  X X+2  0  2  0 X+2  0  X  2  X  0  X  2  0  0  0  0
 0  0  0  0  2  0  0  0  0  0  2  2  0  2  2  0  2  2  0  0  0  2  0  2  0  0  2  2  0  2  2  2  0  2  0  0  0  0  2  2  0  2  2  0  0  0  0  2  0  2  2  0  0  2  0  2  2  0  2  2
 0  0  0  0  0  2  0  0  2  2  2  0  0  0  2  0  2  0  2  0  0  0  0  0  0  0  2  2  2  2  0  2  2  2  2  0  2  2  2  2  2  0  2  2  0  0  2  2  2  0  2  0  2  0  2  0  0  0  2  2
 0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  0  2  2  2  0  2  0  0  2  2  2  0  2  2  2  0  0  2  0  2  0  2  2  2  2  0  2  0
 0  0  0  0  0  0  0  2  2  2  2  0  2  2  2  2  2  2  2  2  2  2  0  0  0  0  2  0  2  2  2  0  0  2  0  2  0  0  0  2  2  0  2  2  2  2  2  0  0  0  0  2  2  0  0  0  2  2  0  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+95x^50+20x^51+367x^52+196x^53+788x^54+500x^55+1215x^56+968x^57+1819x^58+1400x^59+1770x^60+1344x^61+1872x^62+1000x^63+1141x^64+536x^65+651x^66+148x^67+297x^68+28x^69+114x^70+4x^71+65x^72+35x^74+6x^76+2x^78+2x^80

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.