The generator matrix

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

generates a code of length 73 over Z4 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+41x^66+78x^67+108x^68+100x^69+92x^70+86x^71+65x^72+72x^73+58x^74+60x^75+38x^76+34x^77+26x^78+22x^79+16x^80+18x^81+16x^82+18x^83+20x^84+10x^85+14x^86+8x^87+8x^88+6x^89+7x^90+2x^94

The gray image is a code over GF(2) with n=146, k=10 and d=66.
This code was found by Heurico 1.10 in 0.062 seconds.