The generator matrix

 1  0  0  1  1  1 X+2  1  1  X  1  2  1  2  1  1  X  X  1  1  1  2 X+2  0  1  1  1  1  1  X X+2  0  1  X  0  1  1  1 X+2  1  2  1 X+2  1  2  0  0  1  1  0  2  1  1  1  1 X+2  1  1  X  1  1  2  0  X  1  1  1  X  1  1  0
 0  1  0  0  1 X+3  1 X+2 X+3  1  3  1  X  X  X  0  X  1  3  3 X+2  1  0  1  1 X+1 X+3  X  2  1  0 X+2  3  1  1  3  2  1  1 X+2  1 X+3 X+2 X+1  1  1  1  2  0  1 X+2 X+2  0  1  1  1  0 X+3 X+2  1  2  1 X+2  1  1  3  0  1  0  0  0
 0  0  1  1 X+1  0 X+3  1 X+3 X+2  X  3  X  1 X+1 X+2  1  1  3  2  2  0  1 X+3  X  0  3 X+1  X  0  1  1  1 X+2  3  3 X+1 X+2  2  3 X+1  0  1  3  0 X+1  2  3 X+3 X+1  1 X+2 X+2 X+3 X+1 X+3  2  3  1  0  1  1  1  2  2 X+3  2  2  X X+3  1
 0  0  0  X  X X+2  0 X+2 X+2  0 X+2  2  2  0  X  2  2  2  X X+2 X+2  X  2  X  0  0  0  0 X+2 X+2 X+2  X  X X+2 X+2  2 X+2  0 X+2  2  2  0  X  0  0  X  X  X X+2 X+2  0  0  2 X+2  X  0 X+2 X+2  2  X  X  X  0  X  2  2  X  2  2  0  0
 0  0  0  0  2  0  0  0  2  0  0  0  0  0  2  2  2  0  2  0  2  2  0  2  2  2  0  0  0  2  0  2  0  0  0  2  0  2  0  0  2  0  2  2  2  0  0  0  2  2  0  2  0  0  2  2  2  2  2  2  2  0  2  2  2  0  2  0  0  2  0
 0  0  0  0  0  2  0  2  2  2  0  2  2  2  2  0  2  0  0  0  2  2  2  2  0  2  0  2  2  2  2  2  0  2  2  2  2  2  0  0  2  2  0  0  0  0  2  2  0  2  0  2  2  2  2  0  2  0  2  0  0  0  2  0  2  2  2  0  0  2  2
 0  0  0  0  0  0  2  2  2  2  2  0  2  2  2  0  2  0  2  0  2  2  0  0  0  0  0  0  2  0  0  0  2  0  2  2  0  2  2  2  2  0  0  2  0  2  2  2  2  2  2  0  2  0  0  0  0  2  0  2  0  0  0  0  0  2  2  2  2  2  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+145x^62+272x^63+537x^64+668x^65+841x^66+1040x^67+1220x^68+1360x^69+1433x^70+1548x^71+1421x^72+1384x^73+1206x^74+1004x^75+697x^76+624x^77+402x^78+212x^79+165x^80+60x^81+52x^82+20x^83+39x^84+16x^86+16x^88+1x^90

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 14 seconds.