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

generates a code of length 91 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+126x^88+224x^90+256x^91+368x^92+48x^96+1x^176

The gray image is a code over GF(2) with n=728, k=10 and d=352.
This code was found by Heurico 1.16 in 40.3 seconds.