The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^62+96x^63+100x^64+106x^65+83x^66+54x^67+82x^68+68x^69+46x^70+60x^71+44x^72+36x^73+53x^74+34x^75+15x^76+16x^77+14x^78+16x^79+9x^80+10x^81+14x^82+12x^83+5x^84+4x^85+8x^86

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 0.19 seconds.