The generator matrix

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

generates a code of length 71 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+88x^61+208x^62+338x^63+417x^64+584x^65+837x^66+1030x^67+1183x^68+1368x^69+1468x^70+1532x^71+1518x^72+1218x^73+1192x^74+1036x^75+754x^76+584x^77+362x^78+246x^79+128x^80+104x^81+79x^82+38x^83+29x^84+16x^85+10x^86+4x^87+6x^89+4x^90+2x^92

The gray image is a code over GF(2) with n=284, k=14 and d=122.
This code was found by Heurico 1.16 in 68.7 seconds.