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

generates a code of length 95 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+48x^83+118x^84+120x^85+168x^86+188x^87+280x^88+304x^89+395x^90+504x^91+475x^92+604x^93+643x^94+676x^95+672x^96+566x^97+518x^98+388x^99+303x^100+328x^101+192x^102+180x^103+143x^104+100x^105+86x^106+48x^107+45x^108+20x^109+31x^110+12x^111+7x^112+6x^113+8x^114+4x^115+3x^116+6x^118+1x^120+1x^138

The gray image is a code over GF(2) with n=380, k=13 and d=166.
This code was found by Heurico 1.16 in 35.8 seconds.