The generator matrix

 1  0  0  1  1  1  2  0  0  2  1  1  1  1  X  1  0  1  1  0  1  1  2  0  1  1  1  2  0  0  X  X  X X+2 X+2 X+2 X+2  X  1  1  1 X+2  1  1  1  1  1  1  1  1  1  1  1  1  2  1  X  X  1  1  1  1  1  1  1  1  1  1  2  1  X  1  1  1 X+2  1
 0  1  0  0  3  3  1 X+2  1  1  X X+3  X X+3  1  1 X+2 X+1 X+2  1 X+1  2  1  1 X+2  2  1  1  X  2  1  1  1  1  1  1  1  X  2  3  1  2 X+3  X  2 X+3 X+2 X+3  0 X+3  X  3  2 X+2  0  3  X  0  0  1  0  3  1  0  2  1  1 X+3  X  1  0  X  2  X  0 X+2
 0  0  1 X+1 X+3  2 X+3  1 X+2  1  X X+2  1  3  1  3  1  2 X+1  0 X+3  X  1  X  0  1 X+2 X+1  1  1  X  2 X+3  X  3  0 X+3  1  2 X+3  0  1 X+1 X+3  3  X  2  1 X+2  0  1  3 X+1  X  1 X+2  1  1  X  0  0  2  2 X+2  0  2  X X+2  0  1  1 X+2  2  0  1  1
 0  0  0  2  2  0  2  2  2  0  2  2  0  0  0  2  0  2  0  2  0  0  2  0  2  2  0  0  2  0  2  2  0  0  2  0  2  2  2  0  2  2  2  2  0  0  0  2  2  0  2  0  0  0  2  2  0  0  0  0  2  2  0  0  2  2  2  0  2  0  2  0  0  2  0  0

generates a code of length 76 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+86x^72+206x^73+153x^74+156x^75+80x^76+94x^77+18x^78+38x^79+38x^80+36x^81+34x^82+30x^83+34x^84+8x^85+1x^86+1x^88+8x^89+1x^94+1x^98

The gray image is a code over GF(2) with n=304, k=10 and d=144.
This code was found by Heurico 1.16 in 0.263 seconds.