Prime p₀= 2767356988010837567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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 40 2 28 2

SPT(16)	2767355530607902459	0 12 24 54 88 102 214 238 294 318 430 444 478 508 520 532	-1457402935108
STPT(10)	2767355598806478299	0 2 12 14 90 92 168 170 180 182	-1389204359268
STPT(10)	2767355655810416717	0 2 54 56 72 74 90 92 144 146	-1332200420850
SPT(16)	2767355997286476931	0 10 30 60 82 88 90 132 136 178 180 186 208 238 258 268	-990724360636
STPT(10)	2767356875713292459	0 2 42 44 60 62 78 80 120 122	-112297545108
SPT(16)	2767356949950755411	0 8 30 42 60 72 120 162 218 260 308 320 338 350 372 380	-38060082156
SPT(16)	2767357311541845389	0 80 90 104 110 132 134 170 174 210 212 234 240 254 264 344	323531007822
SPT(16)	2767357744212359717	0 30 42 72 80 116 150 200 222 272 306 342 350 380 392 422	756201522150
SPT(16)	2767357757540936501	0 6 32 56 60 128 132 138 260 266 270 338 342 366 392 398	769530098934
STPT(10)	2767357767721604339	0 2 42 44 60 62 78 80 120 122	779710766772
SPT(16)	2767357820743784393	0 6 20 24 74 90 138 146 228 236 284 300 350 354 368 374	832732946826