The generator matrix

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

generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+204x^80+56x^81+296x^82+288x^83+605x^84+560x^85+854x^86+1048x^87+1114x^88+1344x^89+1076x^90+1552x^91+1228x^92+1488x^93+1004x^94+928x^95+753x^96+584x^97+458x^98+272x^99+303x^100+64x^101+126x^102+8x^103+89x^104+24x^106+38x^108+12x^112+2x^114+2x^116+3x^120

The gray image is a code over GF(2) with n=364, k=14 and d=160.
This code was found by Heurico 1.16 in 24.9 seconds.