The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+44x^62+94x^63+91x^64+74x^65+89x^66+110x^67+78x^68+50x^69+63x^70+62x^71+33x^72+32x^73+26x^74+30x^75+27x^76+24x^77+21x^78+12x^79+21x^80+6x^81+8x^82+12x^83+3x^84+6x^85+4x^86+2x^88+1x^90

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 0.197 seconds.