Prime p₀= 2810449713462107399 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 82 2 4 2 82 2 46 2 (?)
a_n: 0 2 48 50 132 134 138 140 222 224 270 272
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: 272
Found by: JayPi
db: batch=82, k=12, 2 46 2 82 2 4

SPT(16)	2810448969549608593	0 10 24 34 118 126 174 268 336 430 478 486 570 580 594 604	-743912498806
SPT(16)	2810448980607068837	0 26 72 84 114 152 212 242 414 444 504 542 572 584 630 656	-732855038562
SPT(16)	2810449080886923031	0 22 36 48 58 76 96 150 208 262 282 300 310 322 336 358	-632575184368
STPT(10)	2810449083728796449	0 2 30 32 60 62 90 92 120 122	-629733310950
SPT(20)	2810449408364124493	0 120 148 154 168 184 274 280 304 318 400 414 438 444 534 550 564 570 598 718	-305097982906
STPT(10)	2810449470439032179	0 2 18 20 30 32 42 44 60 62	-243023075220
SPT(16)	2810449878629432147	0 6 12 26 56 104 174 176 180 182 252 300 330 344 350 356	165167324748
SPT(16)	2810449978843705129	0 18 40 42 78 88 100 112 138 150 162 172 208 210 232 250	265381597730
STPT(10)	2810450281602930599	0 2 42 44 90 92 138 140 180 182	568140823200
STPT(10)	2810450290157601977	0 2 30 32 72 74 114 116 144 146	576695494578
STPT(10)	2810450611003975337	0 2 30 32 72 74 114 116 144 146	897541867938