Prime p₀= 2857077505455116147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2857076702455431031	0 28 30 58 72 88 162 210 220 268 342 358 372 400 402 430	-802999685116
TPT(14)	2857076804626457627	0 2 84 86 90 92 132 134 222 224 240 242 354 356	-700828658520
SPT(16)	2857076888384825837	0 24 56 66 92 104 122 162 194 234 252 264 290 300 332 356	-617070290310
SPT(16)	2857076917603962127	0 12 16 42 70 72 76 114 172 210 214 216 244 270 274 286	-587851154020
STPT(10)	2857077398818826969	0 2 30 32 60 62 90 92 120 122	-106636289178
STPT(10)	2857077495147520241	0 2 36 38 78 80 120 122 156 158	-10307595906
STPT(10)	2857078070498491529	0 2 18 20 30 32 42 44 60 62	565043375382
SPT(16)	2857078454158979461	0 42 48 90 102 190 192 232 258 298 300 388 400 442 448 490	948703863314
SPT(16)	2857078581766589237	0 14 24 30 116 126 140 144 182 186 200 210 296 302 312 326	1076311473090
STPT(12)	2857078775912948987	0 2 24 26 54 56 210 212 240 242 264 266	1270457832840
SPT(16)	2857078932206300419	0 72 90 112 132 150 178 204 268 294 322 340 360 382 400 472	1426751184272