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

generates a code of length 75 over Z4 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+34x^72+24x^74+48x^76+8x^78+12x^80+1x^144

The gray image is a code over GF(2) with n=150, k=7 and d=72.
This code was found by Heurico 1.16 in 0.0743 seconds.