Prime p₀= 2782815983884677581 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: [SG-FC] hl
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2782813883190592817	0 2 12 14 20 54 104 144 152 192 242 276 282 284 294 296	-2100694084764
STPT(10)	2782814071886738801	0 2 6 8 18 20 30 32 36 38	-1911997938780
SPT(16)	2782814082118375561	0 36 58 60 72 88 112 126 142 156 180 196 208 210 232 268	-1901766302020
SPT(16)	2782814427919586251	0 6 10 28 72 78 112 126 142 156 190 196 240 258 262 268	-1555965091330
TPT(14)	2782814907518055497	0 2 150 152 174 176 192 194 204 206 552 554 594 596	-1076366622084
SPT(16)	2782815159916365839	0 42 48 80 152 158 174 210 212 248 264 270 342 374 380 422	-823968311742
SPT(16)	2782816452313432891	0 10 28 30 42 82 156 186 262 292 366 406 418 420 438 448	468428755310
STPT(10)	2782816603977712019	0 2 12 14 90 92 168 170 180 182	620093034438
STPT(10)	2782816873795928831	0 2 36 38 78 80 120 122 156 158	889911251250
STPT(10)	2782816968457028099	0 2 42 44 60 62 78 80 120 122	984572350518
SPT(16)	2782817415136012633	0 4 46 84 96 100 136 148 186 198 234 238 250 288 330 334	1431251335052