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 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 0 X X X 2 2 X X 2 1 2 2 1 X X X X 0 X 1 X 1 1 X X 1 1 1 2 1 X 0 0 1 0 X 1 1 X 2 1 1
0 X 0 0 0 0 0 0 0 0 2 X X X+2 0 X+2 X+2 0 2 X X+2 X X 2 X 2 X 0 X X+2 2 X X+2 0 2 0 2 2 0 X X+2 X+2 X+2 X 0 X 0 X X X+2 X+2 X+2 X+2 X X+2 X 2 2 2 X+2 X X 0 0 2 X+2 X 2 0 X 0 2 0 X+2 0 X X 0 0 0 2 2 0 X 0 2 2 X 2 2 0 X+2 2 X 2
0 0 X 0 0 0 0 0 0 0 X+2 2 X X X X 0 X X 0 X+2 X+2 0 2 X X X+2 X+2 2 X+2 0 0 2 X 0 X+2 X 2 X+2 X 2 X 2 0 X 0 2 0 X X+2 X X 0 2 2 2 X 0 0 X+2 0 2 X X X X 0 X+2 2 X X 0 X+2 2 X 2 X 2 X+2 X X X X+2 X+2 X X 0 X+2 X X+2 0 0 0 X+2 0
0 0 0 X 0 0 0 X X+2 X X X+2 0 X 2 0 X+2 X+2 2 X+2 X+2 2 0 X 0 2 X X X X 2 0 2 X 2 2 X 2 X 2 2 X X+2 0 0 X X+2 X+2 X+2 2 X 0 X X X+2 X+2 X X 0 2 2 2 2 0 X X X+2 X X X 2 X+2 X+2 X+2 X+2 0 2 X X 0 X X+2 X 0 0 0 X+2 X+2 0 X+2 0 2 0 0 X
0 0 0 0 X 0 X X X 2 X X X 2 2 X+2 X+2 2 X+2 2 X+2 2 X+2 X 2 X 0 X+2 2 X+2 X+2 X X X X+2 X 2 0 2 X 2 2 X 0 0 2 X+2 X+2 2 2 0 2 0 X X+2 0 X+2 X+2 X X+2 0 X+2 X 2 0 X+2 X X+2 2 2 0 0 0 0 X+2 X 2 2 X 2 2 X+2 0 X 0 0 2 2 X+2 2 X 2 X X 2
0 0 0 0 0 X X 2 X+2 X+2 X X X+2 0 X 2 2 2 X X+2 0 0 2 2 X 0 X 2 2 X+2 X+2 X+2 X+2 X+2 2 X+2 2 2 X X+2 X+2 0 X+2 X 0 X+2 X X+2 X 0 2 X X 2 0 0 2 0 X X+2 X+2 0 0 0 X X 0 X 0 0 2 X 0 2 0 0 2 X X+2 2 0 X+2 2 2 X+2 0 X X+2 2 2 2 2 X+2 X+2 2
0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 0 0 0 2 0 2 2 0 0 2 2 0 0 2 0 0 2 0 2 0 0 2 0 0 0 2 2 0 2 0 0 0 0 0 2 2 0 0 2 2 2 2 2 0 2 0 2 2 0 2 0 0 2 2 2 2 2
generates a code of length 95 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82.
Homogenous weight enumerator: w(x)=1x^0+62x^82+142x^83+198x^84+302x^85+344x^86+408x^87+570x^88+620x^89+750x^90+922x^91+1061x^92+1148x^93+1131x^94+1268x^95+1223x^96+1114x^97+987x^98+820x^99+781x^100+596x^101+473x^102+370x^103+263x^104+246x^105+165x^106+132x^107+104x^108+58x^109+48x^110+26x^111+19x^112+12x^113+7x^114+8x^115+4x^116+1x^130
The gray image is a code over GF(2) with n=380, k=14 and d=164.
This code was found by Heurico 1.16 in 34 seconds.