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

generates a code of length 74 over Z4 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+30x^72+64x^74+30x^76+1x^84+1x^96+1x^116

The gray image is a code over GF(2) with n=148, k=7 and d=72.
This code was found by Heurico 1.16 in 0.105 seconds.