Prime p₀= 2815163026754401187 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2815161626317595831	0 12 72 86 110 146 188 240 248 300 342 378 402 416 476 488	-1400436805356
SPT(16)	2815161801041421137	0 62 116 122 132 140 152 206 246 300 312 320 330 336 390 452	-1225712980050
SPT(16)	2815162111410685151	0 30 66 108 128 146 156 188 198 230 240 258 278 320 356 386	-915343716036
STPT(10)	2815162169122722227	0 2 54 56 72 74 90 92 144 146	-857631678960
STPT(10)	2815162206106071947	0 2 30 32 72 74 114 116 144 146	-820648329240
SPT(16)	2815162700922647653	0 48 114 118 138 190 204 210 244 250 264 316 336 340 406 454	-325831753534
SPT(20)	2815163264168064107	0 56 182 200 210 212 270 380 392 440 492 540 552 662 720 722 732 750 876 932	237413662920
STPT(10)	2815163479929063017	0 2 30 32 42 44 54 56 84 86	453174661830
SPT(16)	2815163491547014631	0 6 50 80 86 90 126 128 288 290 326 330 336 366 410 416	464792613444
STPT(10)	2815163818282790627	0 2 42 44 72 74 102 104 144 146	791528389440
SPT(16)	2815164335534854553	0 26 54 56 60 74 104 126 194 216 246 260 264 266 294 320	1308780453366