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

generates a code of length 59 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+60x^57+11x^58+16x^59+12x^60+4x^62+2x^64+20x^65+1x^74+1x^80

The gray image is a code over GF(2) with n=236, k=7 and d=114.
This code was found by Heurico 1.16 in 0.53 seconds.