The generator matrix

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

generates a code of length 43 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+14x^41+11x^42+80x^43+12x^44+4x^46+3x^48+2x^57+1x^58

The gray image is a code over GF(2) with n=172, k=7 and d=82.
This code was found by Heurico 1.16 in 0.0584 seconds.