The generator matrix

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

generates a code of length 91 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+212x^85+750x^86+1644x^87+1456x^88+2016x^89+1881x^90+1726x^91+1482x^92+1506x^93+1096x^94+1042x^95+548x^96+484x^97+266x^98+140x^99+51x^100+54x^101+14x^102+4x^104+1x^106+6x^107+1x^108+2x^111+1x^112

The gray image is a code over GF(2) with n=728, k=14 and d=340.
This code was found by Heurico 1.16 in 4.87 seconds.