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

generates a code of length 76 over Z4 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+38x^72+32x^74+116x^76+32x^78+33x^80+3x^84+1x^148

The gray image is a code over GF(2) with n=152, k=8 and d=72.
This code was found by Heurico 1.16 in 0.0967 seconds.