Prime p₀= 2827007835102023849 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 34 2 82 2 34 2 10 2 (?)
a_n: 0 2 12 14 48 50 132 134 168 170 180 182
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: 182
Found by: JayPi
db: batch=82, k=12, 2 10 2 34 2 82

STPT(10)	2827006306049357189	0 2 18 20 30 32 42 44 60 62	-1529052666660
STPT(10)	2827006349518529531	0 2 78 80 108 110 138 140 216 218	-1485583494318
SPT(16)	2827006777026731051	0 26 36 48 62 98 102 120 158 176 180 216 230 242 252 278	-1058075292798
SPT(16)	2827007011615774321	0 22 96 118 180 208 222 228 280 286 300 328 390 412 486 508	-823486249528
SPT(16)	2827007150851564229	0 24 38 224 252 264 282 308 444 470 488 500 528 714 728 752	-684250459620
STPT(10)	2827007307474163337	0 2 30 32 42 44 54 56 84 86	-527627860512
SPT(16)	2827007877064866389	0 14 30 38 42 90 98 104 108 114 122 170 174 182 198 212	41962842540
SPT(16)	2827007933054833739	0 14 54 78 144 158 162 228 344 410 414 428 494 518 558 572	97952809890
STPT(10)	2827007941884218171	0 2 30 32 78 80 126 128 156 158	106782194322
SPT(16)	2827008268382351827	0 4 42 90 112 126 132 186 190 244 250 264 286 334 372 376	433280327978
SPT(16)	2827008386855685647	0 6 42 62 84 110 174 182 234 242 306 332 354 374 410 416	551753661798