The generator matrix

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

generates a code of length 68 over Z4 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+65x^62+105x^64+84x^66+68x^68+60x^70+56x^72+26x^74+20x^76+14x^78+3x^80+2x^82+3x^86+2x^88+1x^94+1x^96+1x^102

The gray image is a code over GF(2) with n=136, k=9 and d=62.
This code was found by Heurico 1.16 in 23.7 seconds.