Prime p₀= 1089127004222796359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: ginga
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	1089125557815114451	0 52 66 118 186 202 256 298 300 342 396 412 480 532 546 598	-1446407681908
SPT(16)	1089125559194474591	0 6 18 30 66 116 128 170 186 228 240 290 326 338 350 356	-1445028321768
SPT(16)	1089125594809963121	0 8 26 50 56 80 92 102 116 126 138 162 168 192 210 218	-1409412833238
SPT(16)	1089126101194803913	0 70 108 114 154 160 180 184 234 238 258 264 304 310 348 418	-903027992446
SPT(16)	1089126760131360361	0 10 76 120 136 162 208 246 262 300 346 372 388 432 498 508	-244091435998
STPT(10)	1089126762140652791	0 2 6 8 48 50 90 92 96 98	-242082143568
SPT(16)	1089127255635286723	0 36 70 76 78 88 130 136 270 276 318 328 330 336 370 406	251412490364
STPT(10)	1089127264292131331	0 2 36 38 78 80 120 122 156 158	260069334972
SPT(16)	1089127521301028051	0 110 126 146 156 170 188 206 222 240 258 272 282 302 318 428	517078231692
SPT(16)	1089127964468420651	0 20 26 32 80 146 180 222 230 272 306 372 420 426 432 452	960245624292
SPT(16)	1089128053115595733	0 6 30 34 36 64 66 118 186 238 240 268 270 274 298 304	1048892799374