The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  2  1  1  2  1  1  2  1  1  2  1  1  0  1  1  0  1  1  2  1  1  2  1  1  0  1  1  2  1  1  0
 0  1  1  0  1  1  3  0  1  0  3  1  2  3  1  2  1  1  2  3  1  2  1  1  0  3  1  0  3  1  2  1  1  2  1  1  0  3  1  2  1  1  0  3  1
 0  0  2  0  0  0  0  2  2  2  2  2  2  0  2  2  0  2  0  2  0  0  2  0  0  0  0  2  2  2  2  2  2  0  0  0  0  0  2  0  0  2  2  2  0
 0  0  0  2  0  2  2  2  2  0  2  0  0  0  0  2  2  2  2  0  2  0  2  0  0  0  2  2  2  0  2  2  0  0  0  2  2  2  2  2  2  2  0  0  0
 0  0  0  0  2  0  2  2  2  2  0  2  2  2  2  2  2  2  0  0  0  0  0  0  2  0  2  0  2  0  0  2  0  2  0  2  2  0  0  2  0  0  0  2  2

generates a code of length 45 over Z4 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+69x^44+48x^46+7x^48+3x^60

The gray image is a code over GF(2) with n=90, k=7 and d=44.
This code was found by Heurico 1.16 in 0.016 seconds.