The generator matrix

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

generates a code of length 59 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+152x^51+381x^52+744x^53+760x^54+1274x^55+1187x^56+1640x^57+1412x^58+1690x^59+1172x^60+1662x^61+1045x^62+1182x^63+802x^64+574x^65+285x^66+230x^67+98x^68+50x^69+15x^70+16x^71+6x^72+2x^73+3x^74+1x^76

The gray image is a code over GF(2) with n=236, k=14 and d=102.
This code was found by Heurico 1.16 in 9.9 seconds.