The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+220x^66+1118x^67+2802x^68+5372x^69+9596x^70+14384x^71+21268x^72+26212x^73+32803x^74+33570x^75+33326x^76+27128x^77+22599x^78+13968x^79+8595x^80+4840x^81+2269x^82+1120x^83+568x^84+248x^85+57x^86+28x^87+32x^88+6x^89+8x^90+4x^91+2x^97

The gray image is a code over GF(2) with n=600, k=18 and d=264.
This code was found by Heurico 1.16 in 671 seconds.