The generator matrix

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

generates a code of length 65 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+891x^58+2136x^59+4797x^60+6864x^61+11252x^62+13372x^63+17396x^64+17536x^65+17778x^66+13888x^67+10949x^68+6692x^69+4306x^70+1692x^71+1005x^72+264x^73+190x^74+16x^75+26x^76+4x^77+10x^78+2x^80+4x^82+1x^90

The gray image is a code over GF(2) with n=520, k=17 and d=232.
This code was found by Heurico 1.16 in 439 seconds.