The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+75x^66+93x^68+77x^70+79x^72+65x^74+42x^76+24x^78+33x^80+8x^82+3x^84+6x^86+2x^88+1x^92+1x^96+1x^100+1x^110

The gray image is a code over GF(2) with n=144, k=9 and d=66.
This code was found by Heurico 1.16 in 0.138 seconds.