Prime p₀= 2782814071886738801 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: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2782810967017393847	0 2 36 86 110 120 132 182 204 254 266 276 300 350 384 386	-3104869344954
STPT(10)	2782812118714932119	0 2 12 14 30 32 48 50 60 62	-1953171806682
STPT(10)	2782812178516691549	0 2 48 50 90 92 132 134 180 182	-1893370047252
SPT(16)	2782813168732441721	0 48 56 60 86 116 120 122 126 128 132 162 188 192 200 248	-903154297080
STPT(10)	2782813861689562157	0 2 30 32 72 74 114 116 144 146	-210197176644
SPT(16)	2782813883190592817	0 2 12 14 20 54 104 144 152 192 242 276 282 284 294 296	-188696145984
SPT(16)	2782814082118375561	0 36 58 60 72 88 112 126 142 156 180 196 208 210 232 268	10231636760
SPT(16)	2782814427919586251	0 6 10 28 72 78 112 126 142 156 190 196 240 258 262 268	356032847450
TPT(14)	2782814907518055497	0 2 150 152 174 176 192 194 204 206 552 554 594 596	835631316696
SPT(16)	2782815159916365839	0 42 48 80 152 158 174 210 212 248 264 270 342 374 380 422	1088029627038
STPT(10)	2782815983884677581	0 2 36 38 78 80 120 122 156 158	1911997938780