The generator matrix

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

generates a code of length 69 over Z4 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+84x^60+229x^62+270x^64+282x^66+254x^68+208x^70+217x^72+173x^74+124x^76+94x^78+53x^80+32x^82+18x^84+4x^86+3x^88+1x^90+1x^94

The gray image is a code over GF(2) with n=138, k=11 and d=60.
This code was found by Heurico 1.16 in 0.701 seconds.