Prime p₀= 2670001696039276787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(18)	2670000326987107097	0 14 86 96 140 156 260 266 272 294 300 306 410 426 470 480 552 566	-1369052169690
STPT(10)	2670000458900429531	0 2 30 32 60 62 90 92 120 122	-1237138847256
STPT(10)	2670000549512170487	0 2 30 32 42 44 54 56 84 86	-1146527106300
SPT(16)	2670001117806900121	0 12 46 52 88 118 150 186 202 238 270 300 336 342 376 388	-578232376666
STPT(10)	2670001617365380349	0 2 18 20 60 62 102 104 120 122	-78673896438
SPT(16)	2670001680413152621	0 28 42 60 78 90 112 148 210 246 268 280 298 316 330 358	-15626124166
STPT(10)	2670002575351742999	0 2 18 20 30 32 42 44 60 62	879312466212
SPT(16)	2670003002631528283	0 10 90 114 168 174 180 184 234 238 244 250 304 328 408 418	1306592251496
STPT(10)	2670003028257831359	0 2 30 32 60 62 90 92 120 122	1332218554572
STPT(10)	2670003439497123941	0 2 30 32 78 80 126 128 156 158	1743457847154
STPT(10)	2670003500724323051	0 2 36 38 78 80 120 122 156 158	1804685046264