The generator matrix

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

generates a code of length 58 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+56x^47+152x^48+244x^49+326x^50+400x^51+444x^52+782x^53+909x^54+1128x^55+1461x^56+1414x^57+1671x^58+1630x^59+1448x^60+1192x^61+859x^62+644x^63+430x^64+388x^65+296x^66+192x^67+140x^68+74x^69+31x^70+44x^71+19x^72+2x^73+3x^74+2x^75+1x^78+1x^80

The gray image is a code over GF(2) with n=232, k=14 and d=94.
This code was found by Heurico 1.16 in 17.5 seconds.