Prime p₀= 2891603744367416537 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2891602338643266293	0 50 56 66 78 114 128 198 266 336 350 386 398 408 414 464	-1405724150244
STPT(10)	2891602501169290169	0 2 18 20 30 32 42 44 60 62	-1243198126368
SPT(16)	2891602672919883427	0 10 36 82 112 124 150 156 190 196 222 234 264 310 336 346	-1071447533110
SPT(16)	2891603024202653311	0 6 28 36 42 88 102 106 132 136 150 196 202 210 232 238	-720164763226
SPT(16)	2891603266509538423	0 36 66 76 78 96 126 138 178 190 220 238 240 250 280 316	-477857878114
SPT(16)	2891603727927389821	0 12 16 82 120 150 220 360 418 558 628 658 696 762 766 778	-16440026716
STPT(10)	2891603756947879121	0 2 36 38 78 80 120 122 156 158	12580462584
SPT(16)	2891604792662802263	0 26 36 60 80 84 110 158 186 234 260 264 284 308 318 344	1048295385726
SPT(16)	2891605409052194669	0 2 24 42 90 92 98 120 302 324 330 332 380 398 420 422	1664684778132
STPT(10)	2891605969903707137	0 2 12 14 72 74 132 134 144 146	2225536290600
SPT(16)	2891605995938132777	0 42 56 72 90 120 156 192 194 230 266 296 314 330 344 386	2251570716240