The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+318x^91+1008x^92+1692x^93+2116x^94+3286x^95+3254x^96+3696x^97+3649x^98+3352x^99+2695x^100+2448x^101+1761x^102+1458x^103+861x^104+498x^105+298x^106+198x^107+65x^108+52x^109+21x^110+8x^111+8x^112+6x^113+3x^114+4x^115+4x^116+8x^117

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 17.6 seconds.