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

generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+39x^86+82x^87+155x^88+148x^89+293x^90+180x^91+410x^92+236x^93+755x^94+222x^95+987x^96+220x^97+1044x^98+200x^99+952x^100+196x^101+649x^102+164x^103+366x^104+128x^105+203x^106+104x^107+138x^108+80x^109+63x^110+58x^111+46x^112+16x^113+20x^114+12x^115+10x^116+4x^118+2x^119+5x^120+2x^124+1x^126+1x^142

The gray image is a code over GF(2) with n=392, k=13 and d=172.
This code was found by Heurico 1.16 in 10.5 seconds.