The generator matrix

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

generates a code of length 73 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+179x^64+1012x^65+2353x^66+5718x^67+9410x^68+13862x^69+20557x^70+28036x^71+32362x^72+34300x^73+33291x^74+28000x^75+21308x^76+14658x^77+8423x^78+4676x^79+2228x^80+1082x^81+350x^82+180x^83+76x^84+42x^85+12x^86+12x^87+2x^88+2x^89+6x^90+2x^91+2x^92+2x^93

The gray image is a code over GF(2) with n=584, k=18 and d=256.
This code was found by Heurico 1.16 in 672 seconds.