The generator matrix

 1  0  0  1  1  1 X+2  1  1  X  1  2  1  2  1  2  X  1 X+2  1  1  1  0  X  1  0  1  0  X X+2  1  1  1  2  1  1  1  2  1  1 X+2  2  1  2  1  1  1  1  X  0  1  1  2  1  0  1  1  1  1  1
 0  1  0  0  1 X+3  1 X+2 X+3  1  3  1  X  X  2  1  1  X  1  1  1  3  2  1 X+1  1 X+1  X  1  X X+1 X+1  3  1  1 X+2  0  1 X+2 X+2  2  1  0  2  X X+3  3  0  1  X  X  1  0  0  0  0  3 X+3 X+2  X
 0  0  1  1 X+1  0 X+3  1 X+3 X+2  X  3  X  1  0  2  3 X+1 X+1 X+2  1 X+3  1  2  X  X  X  1 X+2  1  2 X+3 X+1 X+3  0 X+1 X+3  3  3  2  1 X+2 X+1  1  0 X+2  1  0  0  1  X  3  1  0  1  3 X+2  0  3  X
 0  0  0  X  X X+2  0 X+2 X+2  0 X+2  2  2  0 X+2 X+2  X  0 X+2  2  0  0  X X+2 X+2  X  2 X+2 X+2 X+2  2  X  2 X+2  X  X  2  X X+2 X+2 X+2  0 X+2  0 X+2  0 X+2  0  X  X  X X+2  0  2  2 X+2  X  0  0  0
 0  0  0  0  2  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  2  0  0  2  2  2  2  2  0  0  2  2  2  0  2  2  2  2  2  0  2  0  2  2  0  2  0  2  2  0  0  0  2  0  2  0  2  0  2
 0  0  0  0  0  2  0  2  2  2  0  2  2  2  2  2  2  0  0  0  0  2  2  0  0  2  2  0  0  0  2  2  2  2  0  2  0  0  0  2  0  0  2  2  2  0  0  0  0  2  2  2  2  2  0  2  0  2  2  2
 0  0  0  0  0  0  2  2  2  2  2  0  2  2  2  2  0  0  2  2  0  2  0  0  0  0  2  2  2  0  2  0  0  0  0  2  2  2  0  0  2  2  0  2  2  0  2  2  0  2  0  0  0  0  0  0  0  0  2  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+46x^51+206x^52+498x^53+579x^54+886x^55+868x^56+1310x^57+1275x^58+1862x^59+1384x^60+1852x^61+1253x^62+1460x^63+904x^64+812x^65+417x^66+330x^67+179x^68+130x^69+52x^70+22x^71+39x^72+6x^73+8x^74+2x^75+3x^76

The gray image is a code over GF(2) with n=240, k=14 and d=102.
This code was found by Heurico 1.16 in 11.8 seconds.