The generator matrix

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

generates a code of length 92 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+288x^85+934x^86+1762x^87+2234x^88+3192x^89+3005x^90+3718x^91+3374x^92+3556x^93+3024x^94+2880x^95+1655x^96+1362x^97+737x^98+486x^99+292x^100+96x^101+62x^102+34x^103+19x^104+18x^105+8x^106+16x^107+8x^108+6x^110+1x^112

The gray image is a code over GF(2) with n=736, k=15 and d=340.
This code was found by Heurico 1.16 in 16.6 seconds.