Prime p₀= 2689386964804853567 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: JayPi
db: batch=82, k=10, 2 40 2 28 2

SPT(18)	2689385434511964827	0 60 62 90 92 104 134 156 174 242 260 282 312 324 326 354 356 416	-1530292888740
SPT(16)	2689386217739764853	0 6 48 104 126 140 164 176 258 270 294 308 330 386 428 434	-747065088714
SPT(16)	2689386285556176541	0 12 30 40 46 82 100 132 136 168 186 222 228 238 256 268	-679248677026
SPT(16)	2689386329925175501	0 40 52 90 102 108 132 148 150 166 190 196 208 246 258 298	-634879678066
SPT(16)	2689386456599266001	0 2 8 50 68 92 138 158 180 200 246 270 288 330 336 338	-508205587566
SPT(16)	2689386948824361811	0 6 16 18 22 46 60 72 76 88 102 126 130 132 142 148	-15980491756
STPT(10)	2689386984522731369	0 2 30 32 60 62 90 92 120 122	19717877802
SPT(16)	2689387623401380607	0 44 62 66 102 140 156 170 186 200 216 254 290 294 312 356	658596527040
STPT(10)	2689387641657665129	0 2 18 20 30 32 42 44 60 62	676852811562
SPT(16)	2689387786138596229	0 18 52 64 88 130 148 168 334 354 372 414 438 450 484 502	821333742662
SPT(16)	2689387955461168799	0 12 38 50 78 164 194 204 248 258 288 374 402 414 440 452	990656315232