The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+200x^66+1178x^67+2669x^68+5754x^69+8979x^70+14756x^71+20989x^72+27044x^73+31807x^74+34308x^75+32817x^76+27680x^77+21390x^78+15082x^79+8296x^80+4830x^81+2328x^82+1222x^83+450x^84+186x^85+91x^86+34x^87+26x^88+10x^89+5x^90+8x^91+4x^95

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 717 seconds.