The generator matrix

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

generates a code of length 76 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+170x^67+1124x^68+2916x^69+5724x^70+9720x^71+14298x^72+21080x^73+26875x^74+31884x^75+33073x^76+33224x^77+27724x^78+21698x^79+14546x^80+8794x^81+4712x^82+2518x^83+1161x^84+492x^85+228x^86+82x^87+51x^88+18x^89+17x^90+8x^91+2x^92+4x^93

The gray image is a code over GF(2) with n=608, k=18 and d=268.
This code was found by Heurico 1.16 in 670 seconds.