The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+228x^86+180x^87+610x^88+476x^89+710x^90+476x^91+852x^92+536x^93+688x^94+476x^95+680x^96+324x^97+558x^98+272x^99+345x^100+180x^101+222x^102+88x^103+128x^104+48x^105+44x^106+12x^107+26x^108+4x^109+6x^110+13x^112+8x^114+1x^116

The gray image is a code over GF(2) with n=376, k=13 and d=172.
This code was found by Heurico 1.16 in 6.48 seconds.