Prime p₀= 1006269824890627007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: stoneageman
db: batch=76, k=10, 2 40 2 28 2

STPT(10)	1006269235262475827	0 2 24 26 42 44 60 62 84 86	-589628151180
TPT(14)	1006269249861360887	0 2 24 26 162 164 174 176 204 206 210 212 294 296	-575029266120
SPT(16)	1006269534568876189	0 22 42 84 112 118 132 160 162 190 204 210 238 280 300 322	-290321750818
STPT(10)	1006269602713994921	0 2 30 32 78 80 126 128 156 158	-222176632086
SPT(16)	1006269618957031489	0 22 40 88 112 162 168 190 222 244 250 300 324 372 390 412	-205933595518
SPT(16)	1006269695632784749	0 18 34 52 82 102 112 178 204 270 280 300 330 348 364 382	-129257842258
STPT(10)	1006270433036227991	0 2 30 32 78 80 126 128 156 158	608145600984
SPT(16)	1006270768674877859	0 32 114 132 152 164 192 200 222 230 258 270 290 308 390 422	943784250852
STPT(10)	1006271156275266767	0 2 54 56 72 74 90 92 144 146	1331384639760
TPT(14)	1006271194553408279	0 2 18 20 198 200 222 224 240 242 270 272 312 314	1369662781272
STPT(12)	1006271379388020047	0 2 12 14 24 26 30 32 42 44 54 56	1554497393040