Prime p₀= 1085712835420796327 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: [SG]ATA-Rolf
db: batch=76, k=10, 2 88 2 40 2

TPT(14)	1085711821470144017	0 2 114 116 120 122 204 206 282 284 312 314 342 344	-1013950652310
SPT(16)	1085711984802536381	0 6 12 42 68 72 98 110 168 180 206 210 236 266 272 278	-850618259946
SPT(16)	1085712055661504911	0 28 40 76 96 136 150 178 360 388 402 442 462 498 510 538	-779759291416
SPT(16)	1085712265343978911	0 22 58 78 150 162 198 202 276 280 316 328 400 420 456 478	-570076817416
STPT(10)	1085712369414535529	0 2 18 20 30 32 42 44 60 62	-466006260798
TPT(14)	1085712615126352397	0 2 30 32 72 74 174 176 354 356 384 386 504 506	-220294443930
SPT(16)	1085713264247395067	0 6 44 62 110 114 144 176 180 212 242 246 294 312 350 356	428826598740
SPT(16)	1085713414776138371	0 26 42 48 56 90 108 110 168 170 188 222 230 236 252 278	579355342044
SPT(16)	1085713443222410609	0 50 60 78 98 120 132 140 180 188 200 222 242 260 270 320	607801614282
SPT(16)	1085713496771157349	0 12 30 72 78 84 132 154 168 190 238 244 250 292 310 322	661350361022
STPT(10)	1085713798000598717	0 2 30 32 42 44 54 56 84 86	962579802390