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  2  2  1  2  2  1  2  1  2  2  1  2  2  2  2  2  2  2
 0  2  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  0  0  0  0  0  0  2  0  2  2  2  2  2  2  2  0  2  0  0  2  0  0  0  2  2  2  0
 0  0  2  0  0  0  2  2  2  2  2  0  2  2  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  0  0  2  2  0  2  2  0  0  0  2  2  2  0  0
 0  0  0  2  0  2  2  2  0  0  0  0  2  2  2  2  0  0  2  2  2  2  0  0  0  0  0  0  2  2  0  2  2  2  0  2  0  0  2  0  2  2  2  0
 0  0  0  0  2  2  0  2  2  0  2  2  2  0  0  2  0  2  2  0  0  2  2  0  0  2  0  2  2  0  2  0  0  0  0  2  0  2  2  2  2  0  2  0

generates a code of length 44 over Z4 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+18x^42+27x^44+12x^46+3x^48+2x^58+1x^60

The gray image is a code over GF(2) with n=88, k=6 and d=42.
This code was found by Heurico 1.16 in 0.124 seconds.