Prime p₀= 1087669671763234457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 58 2 58 2 40 2 (?)
a_n: 0 2 42 44 102 104 162 164 204 206
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: 206
Found by: [SG]ATA-Rolf
db: batch=76, k=10, 2 40 2 58 2

SPT(16)	1087668179491118143	0 36 76 88 118 168 220 268 288 336 388 438 468 480 520 556	-1492272116314
SPT(16)	1087668534993604169	0 90 110 114 132 140 168 188 294 314 342 350 368 372 392 482	-1136769630288
STPT(10)	1087668559975067039	0 2 12 14 30 32 48 50 60 62	-1111788167418
SPT(16)	1087669191655479523	0 10 24 30 58 70 84 100 138 154 168 180 208 214 228 238	-480107754934
TPT(14)	1087669494929377469	0 2 72 74 90 92 132 134 222 224 282 284 312 314	-176833856988
SPT(16)	1087669520949297421	0 18 48 66 88 100 186 192 196 202 288 300 322 340 370 388	-150813937036
TPT(14)	1087670448622062869	0 2 12 14 48 50 168 170 180 182 252 254 258 260	776858828412
SPT(16)	1087671239676740791	0 30 42 66 100 106 150 172 300 322 366 372 406 430 442 472	1567913506334
SPT(16)	1087671682677929341	0 28 46 48 66 70 76 132 196 252 258 262 280 282 300 328	2010914694884
SPT(16)	1087671725193904579	0 18 58 60 84 88 100 114 208 222 234 238 262 264 304 322	2053430670122
STPT(10)	1087671869817792401	0 2 6 8 18 20 30 32 36 38	2198054557944