Prime p₀= 22117674130953617 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 16 2 22 2 88 2 46 2 (?)
a_n: 0 2 12 14 30 32 54 56 144 146 192 194
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 194
Found by: ChelseaOilman
db: batch=65, k=12, 10 16 22 88 46

SPT(14)	22117569264869849	0 8 30 72 84 114 162 170 218 248 260 302 324 332	-104866083768
SPT(14)	22117583089377649	0 12 24 30 34 40 60 82 102 108 112 118 130 142	-91041575968
SPT(14)	22117595933702201	0 18 32 56 66 78 108 140 170 182 192 216 230 248	-78197251416
SPT(16)	22117605998189279	0 32 92 162 174 204 224 230 282 288 308 338 350 420 480 512	-68132764338
TPT(12)	22117642393346627	0 2 54 56 72 74 114 116 150 152 210 212	-31737606990
SPT(14)	22117644248836067	0 32 42 50 86 92 116 126 150 156 192 200 210 242	-29882117550
SPT(14)	22117675194991091	0 2 18 30 42 72 78 140 146 176 188 200 216 218	1064037474
TPT(12)	22117676270130401	0 2 6 8 36 38 78 80 156 158 240 242	2139176784
SPT(14)	22117695600883411	0 6 16 18 22 28 58 60 90 96 100 102 112 118	21469929794
SPT(14)	22117697247490711	0 18 42 52 88 96 102 166 172 180 216 226 250 268	23116537094
SPT(14)	22117701509571571	0 10 16 30 36 40 82 126 168 172 178 192 198 208	27378617954