The generator matrix

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

generates a code of length 98 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+46x^93+79x^94+78x^95+78x^96+144x^97+1251x^98+148x^99+62x^100+48x^101+35x^102+24x^103+16x^104+16x^105+8x^106+4x^107+2x^108+2x^109+2x^110+2x^111+1x^112+1x^186

The gray image is a code over GF(2) with n=784, k=11 and d=372.
This code was found by Heurico 1.16 in 113 seconds.