The generator matrix

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

generates a code of length 72 over Z4 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+16x^66+28x^67+60x^68+76x^69+66x^70+70x^71+48x^72+44x^73+18x^74+6x^75+6x^76+6x^78+2x^79+5x^80+4x^81+8x^82+14x^83+2x^84+4x^85+12x^86+8x^87+6x^88+2x^90

The gray image is a code over GF(2) with n=144, k=9 and d=66.
This code was found by Heurico 1.10 in 0.015 seconds.