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

generates a code of length 67 over Z4 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+101x^62+102x^64+113x^66+67x^68+35x^70+20x^72+25x^74+28x^76+8x^78+5x^80+2x^82+1x^84+2x^86+2x^94

The gray image is a code over GF(2) with n=134, k=9 and d=62.
This code was found by Heurico 1.10 in 0.016 seconds.