The generator matrix

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

generates a code of length 69 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+36x^65+181x^66+300x^67+163x^68+44x^69+62x^70+20x^71+26x^72+20x^73+19x^74+76x^75+40x^76+8x^77+1x^80+4x^81+18x^82+4x^83+1x^84

The gray image is a code over GF(2) with n=276, k=10 and d=130.
This code was found by Heurico 1.11 in 0.163 seconds.