The generator matrix

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

generates a code of length 67 over Z4 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+20x^58+78x^59+125x^60+130x^61+145x^62+160x^63+139x^64+130x^65+140x^66+144x^67+120x^68+100x^69+92x^70+90x^71+64x^72+48x^73+66x^74+60x^75+41x^76+34x^77+43x^78+38x^79+20x^80+6x^81+6x^82+6x^83+2x^84

The gray image is a code over GF(2) with n=134, k=11 and d=58.
This code was found by Heurico 1.10 in 0.219 seconds.