Prime p₀= 2395923296336342789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: Landjunge
db: batch=81, k=10, 2 76 2 40 2

SPT(16)	2395922476345804493	0 38 50 110 114 120 140 170 258 288 308 314 318 378 390 428	-819990538296
SPT(16)	2395922728264054357	0 36 46 64 112 120 124 132 154 162 166 174 222 240 250 286	-568072288432
STPT(10)	2395922792812907399	0 2 18 20 30 32 42 44 60 62	-503523435390
STPT(10)	2395922797679568767	0 2 30 32 42 44 54 56 84 86	-498656774022
STPT(10)	2395922826075369977	0 2 12 14 42 44 72 74 84 86	-470260972812
TPT(14)	2395922970812700167	0 2 12 14 24 26 60 62 180 182 192 194 354 356	-325523642622
SPT(16)	2395923420248712103	0 10 36 58 60 156 226 250 294 318 388 484 486 508 534 544	123912369314
SPT(16)	2395923851413840477	0 4 16 42 64 72 90 120 196 226 244 252 274 300 312 316	555077497688
SPT(16)	2395924178690066863	0 34 76 100 114 130 144 210 244 310 324 340 354 378 420 454	882353724074
SPT(16)	2395924861154324233	0 24 40 94 96 138 144 180 184 220 226 268 270 324 340 364	1564817981444
SPT(16)	2395924892800555409	0 24 38 42 80 98 108 132 140 164 174 192 230 234 248 272	1596464212620