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

generates a code of length 69 over Z4 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+36x^62+72x^63+97x^64+112x^65+104x^66+92x^67+77x^68+64x^69+38x^70+60x^71+39x^72+22x^73+45x^74+26x^75+15x^76+20x^77+16x^78+10x^79+20x^80+22x^81+13x^82+10x^83+6x^84+4x^86+2x^87+1x^88

The gray image is a code over GF(2) with n=138, k=10 and d=62.
This code was found by Heurico 1.10 in 0.062 seconds.