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

generates a code of length 75 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+105x^66+12x^67+229x^68+48x^69+372x^70+112x^71+447x^72+204x^73+470x^74+264x^75+500x^76+220x^77+339x^78+112x^79+217x^80+36x^81+156x^82+12x^83+96x^84+4x^85+77x^86+42x^88+17x^90+3x^92+1x^112

The gray image is a code over GF(2) with n=300, k=12 and d=132.
This code was found by Heurico 1.16 in 1.64 seconds.