The generator matrix

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

generates a code of length 69 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+90x^59+207x^60+304x^61+487x^62+646x^63+795x^64+1034x^65+1123x^66+1274x^67+1424x^68+1550x^69+1604x^70+1338x^71+1193x^72+984x^73+685x^74+544x^75+429x^76+246x^77+140x^78+116x^79+70x^80+36x^81+24x^82+20x^83+8x^84+4x^85+1x^86+4x^87+1x^88+2x^89

The gray image is a code over GF(2) with n=276, k=14 and d=118.
This code was found by Heurico 1.16 in 16.5 seconds.