The generator matrix

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

generates a code of length 68 over Z4 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+214x^62+55x^64+330x^66+34x^68+172x^70+18x^72+94x^74+12x^76+54x^78+4x^80+22x^82+2x^84+8x^86+2x^88+2x^90

The gray image is a code over GF(2) with n=136, k=10 and d=62.
This code was found by Heurico 1.10 in 7.38 seconds.