The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+32x^58+86x^59+110x^60+144x^61+140x^62+142x^63+142x^64+120x^65+142x^66+110x^67+125x^68+112x^69+97x^70+92x^71+56x^72+100x^73+69x^74+58x^75+50x^76+28x^77+31x^78+22x^79+20x^80+4x^81+1x^82+2x^83+6x^84+4x^85+1x^88+1x^92

The gray image is a code over GF(2) with n=134, k=11 and d=58.
This code was found by Heurico 1.16 in 0.641 seconds.