The generator matrix

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

generates a code of length 69 over Z4 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+16x^65+42x^66+60x^67+44x^68+24x^69+8x^70+6x^71+8x^72+8x^73+8x^74+6x^75+10x^76+1x^78+2x^79+4x^82+6x^83+1x^86+1x^88

The gray image is a code over GF(2) with n=138, k=8 and d=65.
This code was found by Heurico 1.10 in 0 seconds.