The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1 X+2  1  1  1  0  1  1  2 X+2  1  1  1  X  1  1  0  1  1 X+2  1  0  1  1  1 X+2  1  0  1  1  1  0  1  1 X+2  1  1  2  1  1  1 X+2  0  1  1  1  0 X+2  1  1  1  1  1  X X+2  X  1  1  1  1 X+2  1  1  2  0  0  1  1  1  1  1  2  1  1  1  1  1  1  0  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1 X+2  1 X+1  0  3  1  2  3  1  1 X+2 X+1 X+3  1  X  0  1  3  3  1 X+2  1 X+1  0 X+2  1 X+1  1  3  0  0  1 X+2  2  1  3 X+1  1 X+1 X+2  3  1  1 X+1 X+3 X+2  1  1  2  1  2  3  X  1  1  1  3  X  3 X+2  1  0  1  1  1  1  2 X+2  0 X+1 X+2  1 X+1 X+3  X  2 X+1  3  1 X+2
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  2  2  0  2  2  2  2  2  0  2  2  0  2  0  0  0  0  0  2  2  0  2  2  2  0  2  2  2  0  0  0  0  0  2  0  0  2  2  2  0  2  0  0  0  0  2  2  2  0  0  2  0  2  2  2  2  2  0  0  0  2  2  2  0  2  0  2  0  0  0  2  0  0  2  2  0
 0  0  0  2  0  0  0  0  0  0  0  0  2  0  0  0  2  0  0  2  0  0  2  2  2  0  2  2  2  2  0  0  2  0  2  2  2  2  0  2  0  0  0  0  2  2  2  2  0  2  0  2  2  0  2  0  0  2  2  0  2  2  0  2  2  0  0  0  0  0  2  2  0  0  2  2  0  2  2  0  0  2  0  2  0  2  0  0  2  0  0  2
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  0  2  2  2  0  0  2  0  0  0  0  2  2  2  2  2  0  0  2  2  0  2  2  2  2  2  2  2  0  2  2  0  2  0  0  2  0  2  2  0  2  0  2  2  2  2  2  2  2  0  0  0  2  2  0  0  2  2  2  0  2  0  2  0  0  0  0  0  2  2
 0  0  0  0  0  2  0  0  0  0  0  0  0  2  0  2  2  0  2  2  0  2  0  0  0  0  0  2  2  0  2  2  2  0  2  0  0  2  0  2  0  2  0  2  0  0  0  2  2  2  2  2  0  0  2  0  2  0  2  2  0  0  2  2  0  2  0  0  2  0  2  0  0  2  2  0  2  2  2  0  0  0  0  2  2  0  0  0  2  0  0  2
 0  0  0  0  0  0  2  0  0  0  2  0  2  0  2  2  2  0  0  0  0  0  0  2  0  0  2  2  0  2  0  0  0  2  2  0  2  0  2  0  0  2  0  2  2  0  2  0  2  2  2  0  0  0  2  2  2  2  0  0  2  0  0  2  2  0  2  0  0  0  2  2  2  0  0  2  2  0  2  2  2  0  2  2  2  2  2  0  0  0  0  0
 0  0  0  0  0  0  0  2  0  0  0  2  0  2  2  2  0  2  2  0  2  0  2  0  0  0  2  2  2  2  2  0  2  2  0  0  2  2  0  2  0  2  0  0  0  0  2  0  0  0  2  2  0  2  2  0  2  2  0  2  0  0  2  0  2  0  0  2  0  0  2  2  0  0  0  0  0  2  0  2  0  2  2  0  2  0  0  2  0  2  2  2
 0  0  0  0  0  0  0  0  2  0  2  2  0  2  2  2  2  0  2  0  2  0  0  2  0  0  0  0  2  2  0  0  0  0  2  2  2  0  2  2  2  0  2  2  0  0  2  2  2  0  0  0  2  0  0  0  2  0  2  2  2  0  2  0  0  0  0  0  2  0  2  2  0  0  2  2  2  0  0  2  2  2  2  0  0  2  0  2  0  2  2  2
 0  0  0  0  0  0  0  0  0  2  2  0  2  0  2  2  2  0  2  0  0  2  2  2  0  2  0  2  2  0  2  2  2  0  0  2  2  2  2  2  2  2  2  2  2  2  0  2  0  2  2  0  0  2  0  2  2  2  0  2  2  2  0  2  0  2  2  0  2  2  0  0  2  0  0  2  0  0  2  2  2  0  0  2  2  0  0  2  2  0  2  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+166x^80+4x^81+124x^82+144x^83+501x^84+416x^85+572x^86+740x^87+1071x^88+1208x^89+1096x^90+1584x^91+1255x^92+1584x^93+1096x^94+1208x^95+1011x^96+740x^97+572x^98+416x^99+391x^100+144x^101+124x^102+4x^103+116x^104+51x^108+30x^112+8x^116+5x^120+2x^124

The gray image is a code over GF(2) with n=368, k=14 and d=160.
This code was found by Heurico 1.16 in 25.1 seconds.