The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+94x^62+187x^64+165x^66+146x^68+104x^70+98x^72+82x^74+47x^76+34x^78+26x^80+25x^82+6x^84+8x^86+1x^92

The gray image is a code over GF(2) with n=138, k=10 and d=62.
This code was found by Heurico 1.16 in 0.238 seconds.