Prime p₀= 2821027156015548461 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 36 38 48 50 78 80 90 92 126 128
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: 128
Found by: JayPi
db: batch=82, k=12, 2 34 2 10 2 28

STPT(10)	2821025236769670779	0 2 30 32 60 62 90 92 120 122	-1919245877682
STPT(10)	2821025852809144961	0 2 30 32 78 80 126 128 156 158	-1303206403500
SPT(16)	2821026232122760877	0 12 42 92 116 182 186 216 320 350 354 420 444 494 524 536	-923892787584
STPT(10)	2821026300002835479	0 2 18 20 60 62 102 104 120 122	-856012712982
STPT(10)	2821026496471915559	0 2 42 44 60 62 78 80 120 122	-659543632902
SPT(16)	2821026546383733829	0 10 12 18 22 70 102 120 130 148 180 228 232 238 240 250	-609631814632
STPT(10)	2821027986210068819	0 2 18 20 30 32 42 44 60 62	830194520358
SPT(16)	2821028895732894313	0 4 24 34 60 88 108 136 228 256 276 304 330 340 360 364	1739717345852
SPT(16)	2821028944226918851	0 6 40 46 82 88 108 126 142 160 180 186 222 228 262 268	1788211370390
STPT(10)	2821029095594946749	0 2 42 44 60 62 78 80 120 122	1939579398288
SPT(16)	2821029929314957229	0 8 24 42 80 128 150 168 254 272 294 342 380 398 414 422	2773299408768