The generator matrix

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

generates a code of length 67 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+266x^59+423x^60+764x^61+964x^62+1238x^63+1149x^64+1420x^65+1410x^66+1444x^67+1333x^68+1462x^69+1125x^70+1112x^71+705x^72+624x^73+385x^74+246x^75+150x^76+74x^77+19x^78+44x^79+13x^80+8x^81+1x^82+2x^84+2x^87

The gray image is a code over GF(2) with n=268, k=14 and d=118.
This code was found by Heurico 1.16 in 51.3 seconds.