Prime p₀= 2767358906152368947 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

STPT(10)	2767357767721604339	0 2 42 44 60 62 78 80 120 122	-1138430764608
SPT(16)	2767357820743784393	0 6 20 24 74 90 138 146 228 236 284 300 350 354 368 374	-1085408584554
TPT(14)	2767357916171915699	0 2 78 80 90 92 120 122 150 152 162 164 180 182	-989980453248
STPT(10)	2767357916171915777	0 2 12 14 42 44 72 74 84 86	-989980453170
SPT(16)	2767358014631918989	0 28 40 54 72 124 138 150 172 184 198 250 268 282 294 322	-891520449958
TPT(14)	2767358723259648251	0 2 60 62 126 128 156 158 180 182 186 188 240 242	-182892720696
STPT(10)	2767359078691174967	0 2 24 26 42 44 60 62 84 86	172538806020
SPT(16)	2767359131540874107	0 20 74 116 152 230 242 266 360 384 396 474 510 552 606 626	225388505160
SPT(16)	2767359627003888883	0 4 24 70 94 150 234 238 246 250 334 390 414 460 480 484	720851519936
SPT(16)	2767359650531603129	0 2 18 120 140 144 150 162 170 182 188 192 212 314 330 332	744379234182
SPT(16)	2767359663426845089	0 12 42 52 78 100 148 150 280 282 330 352 378 388 418 430	757274476142