Prime p₀= 2857772713225702157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 52 2 16 2

SPT(16)	2857771133105263757	0 12 44 54 56 90 104 126 200 222 236 270 272 282 314 326	-1580120438400
SPT(16)	2857771237055403961	0 6 28 70 88 102 168 178 210 220 286 300 318 360 382 388	-1476170298196
TPT(14)	2857772090322762791	0 2 36 38 48 50 90 92 138 140 168 170 180 182	-622902939366
STPT(10)	2857772360371510319	0 2 12 14 90 92 168 170 180 182	-352854191838
SPT(16)	2857772425495738979	0 18 20 44 62 74 78 114 158 194 198 210 228 252 254 272	-287729963178
SPT(16)	2857772593906431277	0 16 30 60 70 90 96 154 156 214 220 240 250 280 294 310	-119319270880
SPT(16)	2857772909394354719	0 78 80 104 122 150 152 188 264 300 302 330 348 372 374 452	196168652562
SPT(16)	2857772952624268561	0 12 82 106 120 178 180 190 198 208 210 268 282 306 376 388	239398566404
STPT(10)	2857773047131280657	0 2 30 32 42 44 54 56 84 86	333905578500
STPT(10)	2857773450712144967	0 2 30 32 60 62 90 92 120 122	737486442810
SPT(16)	2857774188602443003	0 4 36 46 60 64 66 84 130 148 150 154 168 178 210 214	1475376740846