Prime p₀= 2221414181718773357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Penguin
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2221413141605127479	0 18 38 44 78 80 98 104 144 150 168 170 204 210 230 248	-1040113645878
SPT(16)	2221413221124205483	0 30 36 58 64 138 160 174 190 204 226 300 306 328 334 364	-960594567874
SPT(16)	2221413618848475559	0 4 22 60 82 100 102 172 180 250 252 270 292 330 348 352	-562870297798
STPT(10)	2221414012180893767	0 2 12 14 42 44 72 74 84 86	-169537879590
SPT(16)	2221414016362976639	0 42 50 68 74 92 128 158 204 234 270 288 294 312 320 362	-165355796718
SPT(16)	2221414030252795757	0 14 42 56 144 170 234 254 282 302 366 392 480 494 522 536	-151465977600
SPT(16)	2221414222929582761	0 2 12 68 72 90 98 150 170 222 230 248 252 308 318 320	41210809404
TPT(14)	2221414232831483297	0 2 54 56 60 62 234 236 264 266 312 314 324 326	51112709940
SPT(16)	2221414572408692257	0 4 22 42 46 64 100 106 150 156 192 210 214 234 252 256	390689918900
SPT(16)	2221414849981702961	0 6 48 60 66 98 108 122 186 200 210 242 248 260 302 308	668262929604
STPT(10)	2221414901473774997	0 2 12 14 42 44 72 74 84 86	719755001640