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  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  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
 0 2X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 2X  0 2X 2X  0  0 2X 2X  0 2X 2X  0  0 2X 2X 2X  0 2X 2X  0  0 2X  0 2X 2X  0  0 2X 2X  0 2X 2X  0  0 2X 2X  0 2X 2X 2X 2X  0  0 2X  0 2X 2X  0  0  0 2X 2X 2X 2X  0  0 2X  0 2X 2X 2X 2X  0  0  0 2X 2X  0  0 2X  0 2X  0  0 2X 2X  0 2X  0 2X
 0  0 2X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 2X 2X 2X  0  0 2X 2X  0 2X 2X  0  0 2X 2X  0  0 2X 2X 2X  0 2X  0 2X  0 2X  0 2X 2X  0 2X  0 2X 2X  0 2X  0 2X 2X  0  0 2X 2X  0 2X 2X  0 2X  0 2X 2X  0  0  0  0 2X 2X 2X 2X 2X 2X 2X  0  0  0  0 2X 2X 2X 2X  0 2X 2X  0 2X  0 2X  0  0 2X 2X
 0  0  0 2X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 2X 2X  0 2X 2X 2X  0  0  0 2X 2X 2X 2X 2X 2X  0  0  0  0 2X 2X  0  0 2X 2X 2X  0  0 2X 2X  0 2X  0 2X 2X  0 2X  0 2X  0 2X  0 2X  0 2X 2X  0 2X  0 2X 2X  0 2X  0  0 2X 2X  0 2X  0 2X 2X 2X 2X 2X 2X  0  0 2X  0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X
 0  0  0  0 2X  0  0  0  0  0  0  0 2X 2X 2X 2X 2X 2X 2X  0  0  0  0 2X 2X 2X 2X 2X 2X  0 2X  0 2X  0 2X 2X 2X 2X 2X 2X 2X  0 2X 2X  0 2X 2X  0  0  0  0 2X 2X 2X 2X 2X  0 2X  0  0 2X 2X  0 2X  0 2X  0 2X  0 2X  0  0  0  0  0  0 2X  0 2X 2X 2X  0 2X 2X  0  0  0 2X 2X 2X  0  0  0 2X 2X  0  0  0  0
 0  0  0  0  0 2X  0  0  0 2X 2X 2X 2X 2X  0 2X 2X  0  0  0  0  0  0  0  0  0  0  0  0  0  0 2X 2X  0 2X 2X 2X  0  0 2X  0 2X 2X  0  0 2X 2X  0 2X 2X  0  0 2X  0 2X 2X 2X 2X  0 2X 2X  0  0  0 2X 2X 2X 2X 2X  0  0 2X 2X 2X  0 2X  0 2X  0 2X 2X 2X 2X 2X  0  0  0  0  0  0 2X 2X  0  0 2X 2X 2X  0 2X
 0  0  0  0  0  0 2X  0 2X 2X 2X  0  0  0  0 2X 2X 2X 2X  0  0  0  0  0  0  0  0  0  0  0 2X 2X  0 2X 2X  0  0 2X  0 2X 2X 2X  0  0 2X  0 2X 2X  0 2X  0 2X  0 2X  0 2X 2X 2X 2X  0 2X 2X  0 2X  0  0 2X 2X  0 2X  0  0 2X  0 2X  0  0 2X  0 2X  0 2X  0 2X 2X 2X 2X  0 2X 2X 2X  0  0  0  0  0 2X 2X  0
 0  0  0  0  0  0  0 2X 2X  0 2X 2X  0 2X 2X 2X  0  0 2X  0  0  0  0  0  0  0  0  0  0 2X 2X  0  0  0 2X 2X  0 2X 2X  0  0 2X 2X 2X  0  0 2X 2X 2X  0 2X  0 2X 2X  0 2X  0 2X 2X 2X  0  0 2X 2X  0 2X  0 2X  0  0 2X 2X 2X  0  0  0 2X  0 2X  0  0 2X  0 2X  0 2X  0 2X 2X  0 2X  0 2X  0 2X 2X  0 2X  0

generates a code of length 99 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+58x^92+55x^96+128x^98+1536x^99+179x^100+72x^104+18x^108+1x^196

The gray image is a code over GF(2) with n=792, k=11 and d=368.
This code was found by Heurico 1.16 in 1 seconds.