The generator matrix

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

generates a code of length 73 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+124x^65+1197x^66+2878x^67+4810x^68+8074x^69+10351x^70+14076x^71+15179x^72+17504x^73+15910x^74+14350x^75+10377x^76+7510x^77+4316x^78+2440x^79+1080x^80+504x^81+211x^82+108x^83+41x^84+12x^85+13x^86+2x^90+4x^91

The gray image is a code over GF(2) with n=584, k=17 and d=260.
This code was found by Heurico 1.16 in 153 seconds.