Prime p₀= 2221315096973031107 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 58 2 106 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 180 182 240 242 252 254
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: 254
Found by: Orange Kid
db: batch=81, k=12, 2 10 2 58 2 106

SPT(16)	2221313823256638379	0 12 40 42 54 70 100 114 148 162 192 208 220 222 250 262	-1273716392728
SPT(16)	2221313950277542957	0 4 12 42 72 84 102 130 264 292 310 322 352 382 390 394	-1146695488150
SPT(16)	2221314032863400491	0 46 60 70 100 130 148 168 178 198 216 246 276 286 300 346	-1064109630616
STPT(10)	2221314594203061359	0 2 30 32 60 62 90 92 120 122	-502769969748
SPT(16)	2221314682500440789	0 20 30 54 114 120 138 140 162 164 182 188 248 272 282 302	-414472590318
STPT(10)	2221314721530221027	0 2 42 44 72 74 102 104 144 146	-375442810080
SPT(13)	2221315162668576671	0 30 60 72 126 162 186 210 246 300 312 342 372	65695545564
SPT(16)	2221315466912569901	0 2 26 30 56 102 128 150 158 180 206 252 278 282 306 308	369939538794
SPT(16)	2221315574250411731	0 30 180 198 200 212 222 228 290 296 306 318 320 338 488 518	477277380624
TPT(16)	2221315672344272627	0 2 12 14 30 32 54 56 90 92 102 104 114 116 222 224	575371241520
STPT(10)	2221315803852033137	0 2 60 62 72 74 84 86 144 146	706879002030