The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1  1
 0  2  0  0  0  0  0  0  0  2  2  2  0  2  0  0  2  0  2  2  0  0  0  0  0  0  2  2  0  2  0  2  0  0  2  2  2  2  2  0  2  0  2  0  0  2  2  0  2  2  0  0  2  0  0  0  2  0  2  2  2  2  0  2  2
 0  0  2  0  0  0  0  0  2  2  2  2  0  0  0  2  0  2  2  0  0  0  0  0  2  2  2  2  2  0  2  0  2  2  2  2  2  2  0  0  0  0  2  0  2  0  0  0  2  0  2  0  0  0  2  2  0  2  0  2  2  0  2  0  2
 0  0  0  2  0  0  0  0  2  0  0  2  0  2  0  0  0  0  0  0  2  2  2  2  2  2  0  2  2  0  2  2  2  0  0  2  0  2  0  0  0  2  0  0  0  2  2  0  2  2  2  2  2  0  0  0  2  2  0  2  0  0  2  0  0
 0  0  0  0  2  0  0  0  2  0  2  2  2  0  0  2  2  0  0  2  2  2  2  2  0  0  2  0  0  0  0  2  2  2  2  2  2  2  0  0  2  0  0  2  2  2  2  2  2  0  2  0  0  0  0  2  2  2  2  0  0  0  0  0  0
 0  0  0  0  0  2  0  0  2  0  2  0  0  2  2  2  0  0  2  2  0  0  0  2  0  2  2  0  0  0  2  2  0  2  0  2  0  2  0  2  0  2  0  2  2  2  0  0  0  0  2  0  2  2  0  2  2  0  0  2  2  2  2  0  0
 0  0  0  0  0  0  2  0  2  2  0  0  0  2  2  0  2  2  2  0  0  0  2  2  0  0  0  0  2  0  2  0  2  2  2  2  2  2  2  0  0  2  0  2  0  2  2  2  0  0  0  2  0  0  2  2  0  0  2  0  0  2  0  2  2
 0  0  0  0  0  0  0  2  2  2  0  2  2  0  2  0  0  0  2  2  0  2  2  0  0  0  2  0  0  2  2  0  0  2  0  0  2  2  0  0  0  2  2  0  2  0  2  2  0  0  2  0  2  0  2  0  2  0  2  2  0  0  2  2  0

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

Homogenous weight enumerator: w(x)=1x^0+40x^58+48x^60+31x^62+287x^64+256x^65+280x^66+24x^68+32x^74+24x^76+1x^126

The gray image is a code over GF(2) with n=260, k=10 and d=116.
This code was found by Heurico 1.16 in 24.6 seconds.