The generator matrix

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

generates a code of length 68 over Z4 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+25x^60+38x^61+76x^62+88x^63+89x^64+104x^65+72x^66+80x^67+59x^68+42x^69+52x^70+40x^71+38x^72+38x^73+32x^74+32x^75+23x^76+24x^77+12x^78+16x^79+14x^80+10x^81+8x^82+5x^84+4x^86+2x^88

The gray image is a code over GF(2) with n=136, k=10 and d=60.
This code was found by Heurico 1.16 in 0.204 seconds.