Prime p₀= 2356794983577895769 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: arkiss
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2356793514320582059	0 22 30 34 42 48 64 90 172 198 214 220 228 232 240 262	-1469257313710
STPT(10)	2356793770549499921	0 2 6 8 48 50 90 92 96 98	-1213028395848
STPT(10)	2356794062778885641	0 2 6 8 18 20 30 32 36 38	-920799010128
SPT(16)	2356794165347359757	0 6 42 74 110 120 126 144 182 200 206 216 252 284 320 326	-818230536012
STPT(10)	2356794362429192969	0 2 48 50 90 92 132 134 180 182	-621148702800
SPT(16)	2356794973891143559	0 28 54 70 72 90 112 124 288 300 322 340 342 358 384 412	-9686752210
STPT(10)	2356795098964948307	0 2 30 32 42 44 54 56 84 86	115387052538
STPT(10)	2356795297924809197	0 2 30 32 42 44 54 56 84 86	314346913428
STPT(10)	2356795687533790169	0 2 42 44 120 122 198 200 240 242	703955894400
SPT(16)	2356795785463375877	0 32 74 90 92 126 132 150 176 194 200 234 236 252 294 326	801885480108
SPT(16)	2356796906123620381	0 28 66 70 100 108 178 186 232 240 310 318 348 352 390 418	1922545724612