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

generates a code of length 94 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+82x^88+16x^89+68x^90+80x^91+233x^92+160x^93+820x^94+160x^95+209x^96+80x^97+32x^98+16x^99+37x^100+36x^102+10x^104+4x^106+1x^108+2x^112+1x^164

The gray image is a code over GF(2) with n=752, k=11 and d=352.
This code was found by Heurico 1.16 in 1.17 seconds.