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

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+30x^74+30x^76+2x^78+1x^80

The gray image is a code over GF(2) with n=296, k=6 and d=148.
This code was found by Heurico 1.16 in 0.249 seconds.