Prime p₀= 1246850135656078451 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=77, k=10, 2 34 2 40 2

STPT(10)	1246849314532474529	0 2 30 32 60 62 90 92 120 122	-821123603922
STPT(10)	1246849564077411641	0 2 6 8 48 50 90 92 96 98	-571578666810
SPT(16)	1246849566883014803	0 8 38 66 104 174 200 230 354 384 410 480 518 546 576 584	-568773063648
STPT(12)	1246849753340407079	0 2 12 14 42 44 48 50 78 80 90 92	-382315671372
STPT(10)	1246849766754276437	0 2 30 32 42 44 54 56 84 86	-368901802014
SPT(16)	1246849938877752941	0 26 30 56 180 186 218 240 266 288 320 326 450 476 480 506	-196778325510
STPT(10)	1246850157489338159	0 2 18 20 30 32 42 44 60 62	21833259708
SPT(16)	1246850358981601457	0 12 14 42 56 84 144 146 150 152 212 240 254 282 284 296	223325523006
STPT(10)	1246850373368382437	0 2 54 56 72 74 90 92 144 146	237712303986
SPT(16)	1246850418827018297	0 14 24 54 90 132 146 182 234 270 284 326 362 392 402 416	283170939846
SPT(16)	1246850814675556501	0 46 60 88 202 222 292 306 412 426 496 516 630 658 672 718	679019478050