The generator matrix

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

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+63x^62+316x^63+461x^64+772x^65+819x^66+1340x^67+1069x^68+1524x^69+1211x^70+1602x^71+1233x^72+1344x^73+1012x^74+1216x^75+719x^76+622x^77+433x^78+294x^79+88x^80+152x^81+45x^82+32x^83+12x^84+2x^85+1x^86+1x^96

The gray image is a code over GF(2) with n=284, k=14 and d=124.
This code was found by Heurico 1.16 in 13.1 seconds.