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
 0  2  0  0  0  0  0  0  0  0  0  2  0  0  2  2  0  0  2  2  0  0  2  2  0  2  2  0  2  2  0  2  0  2  0  0  2  2  0  0  2  2  2  2
 0  0  2  0  0  0  0  0  0  0  0  2  0  2  2  0  0  2  2  0  0  2  2  0  2  0  2  2  2  0  2  0  2  2  0  2  2  0  0  2  2  0  0  2
 0  0  0  2  0  0  0  0  0  0  0  2  2  0  2  0  2  0  2  0  2  0  0  2  2  2  0  2  0  2  2  2  2  0  2  0  2  0  2  0  0  2  2  0
 0  0  0  0  2  0  0  0  2  2  2  0  2  2  2  2  2  2  2  2  2  0  0  0  2  0  2  0  2  2  0  2  0  2  0  2  2  0  0  2  0  0  2  2
 0  0  0  0  0  2  0  2  2  2  0  0  0  0  0  0  0  2  2  0  2  2  0  0  2  2  0  0  2  2  2  2  2  2  2  2  2  2  0  0  0  0  0  0
 0  0  0  0  0  0  2  2  0  2  2  0  0  0  0  0  2  2  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  0  0  2  2  2  2  2  0  2  0

generates a code of length 44 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+63x^40+128x^44+63x^48+1x^88

The gray image is a code over GF(2) with n=88, k=8 and d=40.
This code was found by Heurico 1.16 in 0.0304 seconds.