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

generates a code of length 59 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+75x^48+128x^49+222x^50+288x^51+428x^52+552x^53+675x^54+872x^55+1155x^56+1340x^57+1632x^58+1738x^59+1466x^60+1534x^61+1135x^62+910x^63+720x^64+414x^65+334x^66+234x^67+216x^68+114x^69+91x^70+50x^71+33x^72+14x^73+4x^74+4x^75+2x^76+1x^78+2x^86

The gray image is a code over GF(2) with n=236, k=14 and d=96.
This code was found by Heurico 1.16 in 17.8 seconds.