Prime p₀= 2297878231049252519 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2297876349537067531	0 12 36 46 70 100 102 112 156 166 168 198 222 232 256 268	-1881512184988
STPT(10)	2297876448267763841	0 2 30 32 78 80 126 128 156 158	-1782781488678
STPT(10)	2297876490453072869	0 2 18 20 30 32 42 44 60 62	-1740596179650
STPT(10)	2297876904751307879	0 2 18 20 30 32 42 44 60 62	-1326297944640
STPT(10)	2297877027757606619	0 2 18 20 60 62 102 104 120 122	-1203291645900
SPT(16)	2297877548073893783	0 8 48 128 138 158 180 188 210 218 240 260 270 350 390 398	-682975358736
SPT(16)	2297878782121724927	0 20 32 42 56 104 114 116 180 182 192 240 254 264 276 296	551072472408
STPT(10)	2297879539230684749	0 2 18 20 30 32 42 44 60 62	1308181432230
TPT(14)	2297879566693658657	0 2 24 26 132 134 162 164 372 374 402 404 420 422	1335644406138
STPT(10)	2297879768750202191	0 2 36 38 78 80 120 122 156 158	1537700949672
SPT(16)	2297879908696922749	0 42 70 162 174 190 222 240 244 262 294 310 322 414 442 484	1677647670230