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

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+57x^48+2x^50+115x^52+32x^54+190x^56+644x^58+688x^60+80x^62+119x^64+10x^66+59x^68+32x^72+18x^76+1x^96

The gray image is a code over GF(2) with n=236, k=11 and d=96.
This code was found by Heurico 1.16 in 0.457 seconds.