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

generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+49x^62+100x^63+181x^64+132x^65+296x^66+134x^67+485x^68+98x^69+561x^70+150x^71+565x^72+110x^73+459x^74+90x^75+231x^76+70x^77+124x^78+82x^79+53x^80+30x^81+41x^82+16x^83+16x^84+8x^85+5x^86+4x^87+4x^88+1x^102

The gray image is a code over GF(2) with n=284, k=12 and d=124.
This code was found by Heurico 1.16 in 1.54 seconds.