The generator matrix

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

generates a code of length 69 over Z4 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+68x^59+147x^60+170x^61+207x^62+222x^63+216x^64+268x^65+273x^66+238x^67+231x^68+230x^69+225x^70+222x^71+208x^72+182x^73+190x^74+162x^75+165x^76+132x^77+85x^78+92x^79+45x^80+38x^81+41x^82+20x^83+9x^84+4x^85+3x^86+2x^88

The gray image is a code over GF(2) with n=138, k=12 and d=59.
This code was found by Heurico 1.16 in 2.58 seconds.