Prime p₀= 1009002337916416601 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: HenkM
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1009001151323688311	0 12 26 60 78 200 242 272 306 336 378 500 518 552 566 578	-1186592728290
STPT(10)	1009001204062137617	0 2 60 62 102 104 144 146 204 206	-1133854278984
STPT(10)	1009001304743006537	0 2 42 44 132 134 222 224 264 266	-1033173410064
SPT(16)	1009001366120213287	0 12 24 34 100 136 156 174 202 220 240 276 342 352 364 376	-971796203314
SPT(16)	1009001836642915351	0 10 42 70 78 108 112 126 172 186 190 220 228 256 288 298	-501273501250
SPT(16)	1009002088852989391	0 46 58 72 102 112 118 130 168 180 186 196 226 240 252 298	-249063427210
TPT(14)	1009003009128541289	0 2 18 20 78 80 90 92 132 134 168 170 252 254	671212124688
STPT(10)	1009003539966488201	0 2 36 38 78 80 120 122 156 158	1202050071600
TPT(14)	1009003735795792859	0 2 48 50 180 182 288 290 330 332 348 350 378 380	1397879376258
TPT(14)	1009004203588747901	0 2 36 38 78 80 120 122 138 140 150 152 210 212	1865672331300
SPT(16)	1009004286424392677	0 56 66 72 74 90 144 156 200 212 266 282 284 290 300 356	1948507976076