The generator matrix

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

generates a code of length 74 over Z4 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+206x^66+232x^68+287x^70+293x^72+281x^74+182x^76+133x^78+155x^80+77x^82+86x^84+52x^86+43x^88+20x^90

The gray image is a code over GF(2) with n=148, k=11 and d=66.
This code was found by Heurico 1.10 in 24.3 seconds.