Prime p₀= 2575731169117655357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Penguin
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2575730061559514681	0 2 6 8 48 50 90 92 96 98	-1107558140676
STPT(10)	2575730360200886129	0 2 42 44 90 92 138 140 180 182	-808916769228
STPT(10)	2575730648367319151	0 2 36 38 78 80 120 122 156 158	-520750336206
SPT(16)	2575730669886345539	0 2 14 38 44 50 78 80 162 164 192 198 204 228 240 242	-499231309818
STPT(10)	2575730781364513151	0 2 36 38 78 80 120 122 156 158	-387753142206
SPT(16)	2575731156703083349	0 42 60 70 78 90 144 148 174 178 232 244 252 262 280 322	-12414572008
STPT(10)	2575731175645576181	0 2 30 32 78 80 126 128 156 158	6527920824
SPT(16)	2575731525310406377	0 12 36 54 124 166 192 214 252 274 300 342 412 430 454 466	356192751020
SPT(16)	2575731714126808477	0 6 16 22 36 42 52 60 76 84 94 100 114 120 130 136	545009153120
STPT(10)	2575731720938657717	0 2 42 44 72 74 102 104 144 146	551821002360
STPT(10)	2575731748339600559	0 2 18 20 60 62 102 104 120 122	579221945202