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

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+49x^66+76x^67+95x^68+62x^69+188x^70+74x^71+292x^72+48x^73+342x^74+80x^75+283x^76+46x^77+141x^78+64x^79+66x^80+30x^81+26x^82+12x^83+26x^84+4x^85+19x^86+14x^87+5x^88+2x^89+2x^90+1x^122

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 0.618 seconds.