The generator matrix

 1  0  0  1  1  1 X+2  1  2  1  1  X  1  0  1  1  2 X+2  1 X+2  1  2  1  X  2  1  1  1  1 X+2  1  1  0  1  1  0  1  2  1  1  2  1 X+2  0  1  1  2  X  1  2  1  1  1  2 X+2  1  1  0  0  1  1  1  X  0  X  1  1  0 X+2  1  1
 0  1  0  0  1 X+3  1  3  1  X  2  X  3  1  2 X+3  0  1 X+1  1 X+2  1  X  2  1  1  X  1  1  X X+2  2  1  X  X  1 X+3  2  1 X+1  1  1  1  1 X+1  0  1  1 X+3  1  1  2 X+2  1  2 X+1  2  1  1 X+3  0 X+3  2  1 X+2  1  2  1  1 X+1 X+2
 0  0  1  1  1  0  1  X X+1 X+3  X  1 X+3  X X+2  X  1 X+1  1  0 X+1  X  3  1 X+3  2  X  3  2  1  0  0 X+1  1 X+3 X+2 X+1  1 X+2 X+3  3  0  0 X+1 X+2  1  X X+1  0  3  1 X+2  X  0  1  X X+3  3  3 X+3 X+3  X  1 X+3  X X+3  X  0  2  3 X+1
 0  0  0  X  0  0  2  0  2  X  0  0  0  0 X+2 X+2  X X+2 X+2 X+2  2 X+2  0  X X+2 X+2  X  0  0  X  2  X  X  0  2 X+2 X+2  2  2  2  0  2  X  0 X+2  X  2  2  0 X+2 X+2 X+2 X+2 X+2  2 X+2  X X+2  2  0  0  2  0  0  2 X+2  X  0  0 X+2  0
 0  0  0  0  X X+2 X+2 X+2  X  0  0  2  X X+2  2 X+2  2  X  X  X  0  X  0  2 X+2  0 X+2  2  0  X X+2  X  2  X X+2  2  0  X  0  2  0  X  0  2 X+2 X+2  0  0  0 X+2 X+2  0  0  2  X  0  X  0  2  2 X+2  2  0  2 X+2  X  2  X  0 X+2  0
 0  0  0  0  0  2  0  0  2  2  2  2  2  2  2  0  2  2  2  0  0  2  2  0  0  2  2  2  2  0  2  0  2  2  0  2  2  0  0  0  2  0  0  2  2  2  0  0  2  2  0  0  2  0  2  0  2  0  2  2  0  0  2  0  0  2  2  0  0  0  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+104x^62+306x^63+567x^64+630x^65+999x^66+934x^67+1418x^68+1104x^69+1504x^70+1290x^71+1693x^72+1156x^73+1407x^74+906x^75+841x^76+458x^77+413x^78+240x^79+189x^80+100x^81+42x^82+32x^83+23x^84+6x^85+7x^86+4x^87+2x^88+2x^89+4x^90+2x^92

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.