The generator matrix

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

generates a code of length 72 over Z4 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+68x^67+65x^68+58x^69+69x^70+22x^71+48x^72+46x^73+18x^74+20x^75+11x^76+10x^77+16x^78+8x^79+14x^80+4x^81+6x^82+8x^83+2x^84+4x^85+3x^86+2x^87+1x^88+4x^89+2x^92+2x^97

The gray image is a code over GF(2) with n=144, k=9 and d=67.
This code was found by Heurico 1.16 in 5.71 seconds.