Prime p₀= 1006269602713994921 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: stoneageman
db: batch=76, k=10, 2 28 2 46 2

STPT(10)	1006268687177103377	0 2 30 32 42 44 54 56 84 86	-915536891544
SPT(16)	1006268826500450339	0 8 30 54 98 150 168 170 288 290 308 360 404 428 450 458	-776213544582
SPT(16)	1006268990846327419	0 12 22 30 60 100 102 112 138 148 150 190 220 228 238 250	-611867667502
STPT(10)	1006269235262475827	0 2 24 26 42 44 60 62 84 86	-367451519094
TPT(14)	1006269249861360887	0 2 24 26 162 164 174 176 204 206 210 212 294 296	-352852634034
SPT(16)	1006269534568876189	0 22 42 84 112 118 132 160 162 190 204 210 238 280 300 322	-68145118732
SPT(16)	1006269618957031489	0 22 40 88 112 162 168 190 222 244 250 300 324 372 390 412	16243036568
SPT(16)	1006269695632784749	0 18 34 52 82 102 112 178 204 270 280 300 330 348 364 382	92918789828
STPT(10)	1006269824890627007	0 2 42 44 72 74 102 104 144 146	222176632086
STPT(10)	1006270433036227991	0 2 30 32 78 80 126 128 156 158	830322233070
SPT(16)	1006270768674877859	0 32 114 132 152 164 192 200 222 230 258 270 290 308 390 422	1165960882938