Prime p₀= 1321091149667647619 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

STPT(12)	1321090626185899769	0 2 102 104 132 134 168 170 198 200 300 302	-523481747850
SPT(16)	1321090641706308929	0 14 24 44 54 68 120 134 144 158 210 224 234 254 264 278	-507961338690
STPT(10)	1321090705609464869	0 2 48 50 60 62 72 74 120 122	-444058182750
SPT(16)	1321090905344977853	0 50 56 114 126 140 164 170 204 210 234 248 260 318 324 374	-244322669766
SPT(16)	1321090934130457037	0 44 80 84 86 104 114 116 240 242 252 270 272 276 312 356	-215537190582
SPT(16)	1321091062712584463	0 54 150 164 170 180 186 200 234 248 254 264 270 284 380 434	-86955063156
SPT(16)	1321091348566187333	0 66 80 84 104 116 146 156 158 168 198 210 230 234 248 314	198898539714
SPT(16)	1321091602543143857	0 2 20 44 72 132 144 150 164 170 182 242 270 294 312 314	452875496238
STPT(12)	1321092059499518879	0 2 18 20 60 62 138 140 180 182 198 200	909831871260
SPT(16)	1321092463829990321	0 18 26 56 72 86 138 152 156 170 222 236 252 282 290 308	1314162342702
SPT(16)	1321092784999605197	0 12 20 26 56 74 90 140 156 206 222 240 270 276 284 296	1635331957578