Prime p₀= 1049169098527618097 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1049168313811449691	0 12 16 18 60 88 112 132 166 186 210 238 280 282 286 298	-784716168406
SPT(16)	1049168546307611809	0 24 60 72 102 112 120 150 154 184 192 202 232 244 280 304	-552220006288
STPT(10)	1049168700572265101	0 2 90 92 168 170 246 248 336 338	-397955352996
SPT(16)	1049168809340938633	0 40 54 118 124 156 166 226 228 288 298 330 336 400 414 454	-289186679464
SPT(16)	1049169035404702159	0 12 48 54 70 78 82 90 112 120 124 132 148 154 190 202	-63122915938
SPT(16)	1049169036246608369	0 24 50 68 134 222 228 242 270 284 290 378 444 462 488 512	-62281009728
STPT(10)	1049169167303512667	0 2 24 26 42 44 60 62 84 86	68775894570
STPT(10)	1049169655867650101	0 2 36 38 78 80 120 122 156 158	557340032004
SPT(16)	1049169755945647079	0 2 18 72 84 132 144 174 308 338 350 398 410 464 480 482	657418028982
SPT(16)	1049169863061008407	0 4 24 60 90 130 154 196 210 252 276 316 346 382 402 406	764533390310
TPT(14)	1049170023505743899	0 2 42 44 90 92 138 140 210 212 222 224 258 260	924978125802