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

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+35x^66+52x^67+72x^68+108x^69+88x^70+290x^71+55x^72+328x^73+52x^74+430x^75+58x^76+152x^77+39x^78+88x^79+47x^80+40x^81+33x^82+28x^83+12x^84+12x^85+8x^86+6x^87+9x^88+2x^91+2x^92+1x^126

The gray image is a code over GF(2) with n=296, k=11 and d=132.
This code was found by Heurico 1.16 in 0.597 seconds.