Prime p₀= 2290562889281775137 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

TPT(14)	2290561865051717237	0 2 12 14 24 26 114 116 162 164 192 194 234 236	-1024230057900
SPT(16)	2290562111176960717	0 10 52 76 82 160 214 222 244 252 306 384 390 414 456 466	-778104814420
TPT(14)	2290562151893993687	0 2 54 56 90 92 132 134 150 152 210 212 222 224	-737387781450
SPT(16)	2290562186869574897	0 6 12 56 86 116 140 144 152 156 180 210 240 284 290 296	-702412200240
STPT(10)	2290562354681880437	0 2 54 56 72 74 90 92 144 146	-534599894700
SPT(16)	2290562503672009453	0 6 54 108 138 154 174 256 258 340 360 376 406 460 508 514	-385609765684
SPT(16)	2290563248883478073	0 26 30 86 116 156 170 228 278 336 350 390 420 476 480 506	359601702936
TPT(14)	2290563380210204399	0 2 108 110 198 200 210 212 222 224 240 242 312 314	490928429262
TPT(14)	2290563454025204999	0 2 42 44 60 62 132 134 210 212 240 242 342 344	564743429862
SPT(16)	2290563657009597569	0 8 20 62 98 152 194 200 372 378 420 474 510 552 564 572	767727822432
SPT(16)	2290563676700403443	0 6 8 26 44 80 120 164 180 224 264 300 318 336 338 344	787418628306