Prime p₀= 2566725327609850541 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 106 2 106 2 28 2 (?)
a_n: 0 2 30 32 138 140 246 248 276 278
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: 278
Found by: JayPi
db: batch=82, k=10, 2 28 2 106 2

SPT(16)	2566723702376151119	0 32 68 84 114 128 170 200 222 252 294 308 338 354 390 422	-1625233699422
STPT(10)	2566724074548817637	0 2 24 26 42 44 60 62 84 86	-1253061032904
STPT(10)	2566724220071902997	0 2 12 14 42 44 72 74 84 86	-1107537947544
SPT(16)	2566724418166800523	0 48 58 90 108 118 136 150 196 210 228 238 256 288 298 346	-909443050018
SPT(16)	2566724706188591633	0 24 44 54 80 90 98 126 128 156 164 174 200 210 230 254	-621421258908
STPT(10)	2566725313694422511	0 2 36 38 78 80 120 122 156 158	-13915428030
STPT(10)	2566725474237747761	0 2 30 32 120 122 210 212 240 242	146627897220
SPT(16)	2566725816019709137	0 10 16 66 70 76 82 96 136 150 156 162 166 216 222 232	488409858596
STPT(10)	2566725950094445031	0 2 6 8 48 50 90 92 96 98	622484594490
SPT(16)	2566725951520137007	0 6 12 40 46 76 90 112 150 172 186 216 222 250 256 262	623910286466
STPT(10)	2566726580973732719	0 2 48 50 150 152 252 254 300 302	1253363882178