The generator matrix

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

generates a code of length 35 over Z4 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+64x^22+6x^23+214x^24+108x^25+363x^26+446x^27+827x^28+986x^29+1472x^30+1992x^31+2258x^32+2946x^33+3030x^34+3292x^35+2883x^36+3108x^37+2288x^38+2038x^39+1573x^40+944x^41+804x^42+390x^43+377x^44+98x^45+144x^46+28x^47+49x^48+2x^49+26x^50+9x^52+1x^56+1x^58

The gray image is a code over GF(2) with n=70, k=15 and d=22.
This code was found by Heurico 1.16 in 42.4 seconds.