The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+23x^80+44x^81+96x^82+198x^83+210x^84+444x^85+370x^86+872x^87+592x^88+1182x^89+833x^90+1530x^91+1023x^92+1662x^93+1024x^94+1628x^95+790x^96+1264x^97+527x^98+690x^99+309x^100+448x^101+145x^102+184x^103+64x^104+70x^105+45x^106+14x^107+38x^108+6x^109+26x^110+4x^111+16x^112+2x^114+3x^116+3x^118+2x^120+1x^124+1x^130

The gray image is a code over GF(2) with n=372, k=14 and d=160.
This code was found by Heurico 1.16 in 24 seconds.