The generator matrix

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

generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+37x^70+4x^71+168x^72+64x^73+352x^74+188x^75+620x^76+404x^77+1029x^78+724x^79+1345x^80+1040x^81+1601x^82+1256x^83+1668x^84+1112x^85+1340x^86+700x^87+948x^88+400x^89+579x^90+188x^91+286x^92+52x^93+134x^94+12x^95+49x^96+23x^98+16x^100+19x^102+16x^104+5x^106+2x^108+1x^110+1x^112

The gray image is a code over GF(2) with n=332, k=14 and d=140.
This code was found by Heurico 1.16 in 21.1 seconds.