The generator matrix

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

generates a code of length 77 over Z4 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+68x^62+38x^63+190x^64+136x^65+273x^66+330x^67+457x^68+502x^69+587x^70+676x^71+714x^72+864x^73+853x^74+934x^75+953x^76+1064x^77+1003x^78+1112x^79+871x^80+930x^81+761x^82+694x^83+522x^84+470x^85+374x^86+252x^87+262x^88+116x^89+136x^90+58x^91+97x^92+12x^93+31x^94+2x^95+24x^96+2x^97+8x^98+3x^100+1x^102+2x^104+1x^106

The gray image is a code over GF(2) with n=154, k=14 and d=62.
This code was found by Heurico 1.16 in 52.1 seconds.