Prime p₀= 1459091097261508769 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: Theadalus
db: batch=78, k=10, 2 40 2 16 2

STPT(10)	1459089830266754141	0 2 30 32 78 80 126 128 156 158	-1266994754628
SPT(20)	1459089833449515221	0 8 50 128 138 182 248 278 308 318 320 330 360 390 456 500 510 588 630 638	-1263811993548
STPT(10)	1459090182567100817	0 2 24 26 42 44 60 62 84 86	-914694407952
SPT(16)	1459090190548054657	0 6 52 120 126 132 136 160 162 186 190 196 202 270 316 322	-906713454112
SPT(16)	1459090734480465529	0 34 42 72 108 120 132 214 258 340 352 364 400 430 438 472	-362781043240
STPT(10)	1459090742273313011	0 2 36 38 78 80 120 122 156 158	-354988195758
SPT(16)	1459091234707480457	0 2 74 102 152 200 210 224 282 296 306 354 404 432 504 506	137445971688
SPT(16)	1459091395979095247	0 24 66 74 84 152 200 230 306 336 384 452 462 470 512 536	298717586478
STPT(10)	1459091615350522577	0 2 30 32 72 74 114 116 144 146	518089013808
SPT(16)	1459091833203773539	0 28 42 60 84 108 124 138 184 198 214 238 262 280 294 322	735942264770
STPT(10)	1459091967065014067	0 2 30 32 60 62 90 92 120 122	869803505298