The generator matrix

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

generates a code of length 68 over Z4 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+128x^58+345x^60+441x^62+490x^64+507x^66+437x^68+474x^70+453x^72+293x^74+234x^76+167x^78+79x^80+31x^82+7x^84+6x^86+1x^88+1x^90+1x^92

The gray image is a code over GF(2) with n=136, k=12 and d=58.
This code was found by Heurico 1.16 in 2.59 seconds.