The generator matrix

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

generates a code of length 98 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+270x^91+1144x^92+1692x^93+2548x^94+2752x^95+3538x^96+3186x^97+3642x^98+3084x^99+3202x^100+2254x^101+2102x^102+1354x^103+924x^104+402x^105+308x^106+154x^107+82x^108+62x^109+27x^110+18x^111+13x^112+4x^113+4x^114+1x^118

The gray image is a code over GF(2) with n=784, k=15 and d=364.
This code was found by Heurico 1.16 in 17.8 seconds.