The generator matrix

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

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+146x^80+4x^81+372x^82+216x^83+765x^84+388x^85+1078x^86+736x^87+1359x^88+1144x^89+1534x^90+1168x^91+1513x^92+1144x^93+1220x^94+736x^95+1046x^96+388x^97+594x^98+216x^99+282x^100+4x^101+152x^102+99x^104+36x^106+29x^108+6x^110+5x^112+1x^116+2x^124

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 24.5 seconds.