Prime p₀= 2456227250689655747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: JayPi
db: batch=82, k=10, 2 52 2 76 2

SPT(16)	2456225917079323013	0 14 84 120 140 144 146 186 188 228 230 234 254 290 360 374	-1333610332734
SPT(13)	2456226143015646569	0 18 54 60 84 138 144 150 204 228 234 270 288	-1107674009178
SPT(16)	2456226247449718309	0 48 52 54 70 108 142 150 412 420 454 492 508 510 514 562	-1003239937438
SPT(18)	2456226673533858829	0 10 42 52 88 204 262 288 330 412 454 480 538 654 690 700 732 742	-577155796918
SPT(16)	2456226870120324167	0 14 44 66 80 102 126 144 152 170 194 216 230 252 282 296	-380569331580
SPT(16)	2456227140461443201	0 10 28 30 42 48 100 112 138 150 202 208 220 222 240 250	-110228212546
STPT(10)	2456227350615423569	0 2 30 32 60 62 90 92 120 122	99925767822
STPT(10)	2456227764711286607	0 2 30 32 42 44 54 56 84 86	514021630860
SPT(16)	2456228003284211257	0 12 24 30 34 40 70 82 84 96 126 132 136 142 154 166	752594555510
TPT(14)	2456228141415935069	0 2 30 32 78 80 108 110 210 212 240 242 252 254	890726279322
STPT(10)	2456228144149169627	0 2 12 14 42 44 72 74 84 86	893459513880