Prime p₀= 2767357916171915777 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)	2767357311541845389	0 80 90 104 110 132 134 170 174 210 212 234 240 254 264 344	-604630070388
SPT(16)	2767357744212359717	0 30 42 72 80 116 150 200 222 272 306 342 350 380 392 422	-171959556060
SPT(16)	2767357757540936501	0 6 32 56 60 128 132 138 260 266 270 338 342 366 392 398	-158630979276
STPT(10)	2767357767721604339	0 2 42 44 60 62 78 80 120 122	-148450311438
SPT(16)	2767357820743784393	0 6 20 24 74 90 138 146 228 236 284 300 350 354 368 374	-95428131384
TPT(14)	2767357916171915699	0 2 78 80 90 92 120 122 150 152 162 164 180 182	-78
SPT(16)	2767358014631918989	0 28 40 54 72 124 138 150 172 184 198 250 268 282 294 322	98460003212
TPT(14)	2767358723259648251	0 2 60 62 126 128 156 158 180 182 186 188 240 242	807087732474
STPT(10)	2767358906152368947	0 2 12 14 42 44 72 74 84 86	989980453170
STPT(10)	2767359078691174967	0 2 24 26 42 44 60 62 84 86	1162519259190
SPT(16)	2767359131540874107	0 20 74 116 152 230 242 266 360 384 396 474 510 552 606 626	1215368958330