Prime p₀= 2703505636393492727 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 56
Found by: JayPi
db: batch=82, k=12, 2 10 2 10 2 4

STPT(10)	2703504120046040537	0 2 30 32 72 74 114 116 144 146	-1516347452190
SPT(16)	2703504369034201753	0 10 34 40 108 124 138 166 168 196 210 226 294 300 324 334	-1267359290974
TPT(14)	2703504613283964731	0 2 90 92 138 140 168 170 288 290 300 302 306 308	-1023109527996
SPT(16)	2703504770316512909	0 8 24 50 62 74 80 108 134 162 168 180 192 218 234 242	-866076979818
SPT(16)	2703505118911116199	0 52 60 88 102 130 168 190 192 214 252 280 294 322 330 382	-517482376528
STPT(10)	2703505331886884339	0 2 12 14 90 92 168 170 180 182	-304506608388
SPT(16)	2703505956586511939	0 30 38 48 114 150 188 198 224 234 272 308 374 384 392 422	320193019212
STPT(10)	2703505977415844297	0 2 12 14 72 74 132 134 144 146	341022351570
STPT(10)	2703506045949213119	0 2 18 20 30 32 42 44 60 62	409555720392
STPT(10)	2703506163386716937	0 2 30 32 42 44 54 56 84 86	526993224210
STPT(10)	2703506252180134727	0 2 42 44 72 74 102 104 144 146	615786642000