The generator matrix

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

generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+48x^80+44x^81+155x^82+200x^83+218x^84+266x^85+331x^86+408x^87+473x^88+562x^89+587x^90+578x^91+598x^92+686x^93+547x^94+560x^95+445x^96+300x^97+267x^98+204x^99+164x^100+130x^101+111x^102+72x^103+71x^104+54x^105+41x^106+26x^107+28x^108+6x^109+3x^110+2x^112+5x^114+1x^130

The gray image is a code over GF(2) with n=368, k=13 and d=160.
This code was found by Heurico 1.16 in 9.3 seconds.