The generator matrix

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

generates a code of length 69 over Z4 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+94x^64+122x^66+99x^68+60x^70+44x^72+16x^74+38x^76+20x^78+7x^80+2x^82+1x^84+2x^86+2x^88+2x^92+2x^94

The gray image is a code over GF(2) with n=138, k=9 and d=64.
This code was found by Heurico 1.10 in 0.032 seconds.