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

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+106x^80+100x^82+44x^83+481x^84+176x^85+572x^86+368x^87+1004x^88+724x^89+1290x^90+1144x^91+1725x^92+1248x^93+1432x^94+1088x^95+1378x^96+776x^97+872x^98+380x^99+664x^100+144x^101+316x^102+48x^103+164x^104+4x^105+26x^106+59x^108+29x^112+13x^116+6x^120+2x^124

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 25.1 seconds.