Prime p₀= 793578574641295769 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: Conan
db: batch=73, k=10, 2 16 2 10 2

TPT(14)	793577478491026457	0 2 42 44 114 116 174 176 222 224 270 272 384 386	-1096150269312
SPT(16)	793577719362393151	0 28 42 58 90 118 198 222 226 250 330 358 390 406 420 448	-855278902618
SPT(16)	793577900345524001	0 8 32 36 38 50 80 108 110 138 168 180 182 186 210 218	-674295771768
SPT(16)	793578004442919781	0 96 106 120 138 166 196 198 280 282 312 340 358 372 382 478	-570198375988
TPT(14)	793578512798044031	0 2 36 38 186 188 246 248 288 290 396 398 456 458	-61843251738
STPT(10)	793578539350697921	0 2 6 8 18 20 30 32 36 38	-35290597848
STPT(10)	793578890497436567	0 2 30 32 42 44 54 56 84 86	315856140798
SPT(16)	793578906927185831	0 18 48 56 60 78 90 102 116 128 140 158 162 170 200 218	332285890062
SPT(16)	793578938172913469	0 2 14 48 80 92 140 150 152 162 210 222 254 288 300 302	363531617700
STPT(10)	793580306118596201	0 2 6 8 18 20 30 32 36 38	1731477300432
STPT(10)	793580453593947959	0 2 18 20 30 32 42 44 60 62	1878952652190