The generator matrix

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

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+124x^51+473x^52+654x^53+1012x^54+896x^55+1433x^56+1302x^57+1727x^58+1302x^59+1671x^60+1328x^61+1508x^62+828x^63+920x^64+486x^65+332x^66+162x^67+104x^68+62x^69+28x^70+16x^71+6x^72+8x^73+1x^74

The gray image is a code over GF(2) with n=236, k=14 and d=102.
This code was found by Heurico 1.13 in 3.9 seconds.