Prime p₀= 2871528884175220559 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: 122
Found by: JayPi
db: batch=82, k=12, 2 10 2 28 2 34

SPT(16)	2871527867309158349	0 48 74 102 134 152 162 174 278 290 300 318 350 378 404 452	-1016866062210
SPT(16)	2871528181730493913	0 18 34 60 70 88 108 144 160 196 216 234 244 270 286 304	-702444726646
TPT(14)	2871528210466331879	0 2 72 74 108 110 150 152 210 212 282 284 288 290	-673708888680
STPT(10)	2871528286728530837	0 2 42 44 72 74 102 104 144 146	-597446689722
SPT(16)	2871528449430764107	0 12 52 66 70 84 90 154 312 376 382 396 400 414 454 466	-434744456452
SPT(16)	2871528561242825447	0 20 36 62 120 222 236 266 270 300 314 416 474 500 516 536	-322932395112
STPT(10)	2871530069258886359	0 2 18 20 60 62 102 104 120 122	1185083665800
STPT(10)	2871530598843684509	0 2 42 44 90 92 138 140 180 182	1714668463950
STPT(10)	2871530806747665611	0 2 6 8 48 50 90 92 96 98	1922572445052
SPT(16)	2871530847660409981	0 12 16 22 30 36 90 96 106 112 166 172 180 186 190 202	1963485189422
SPT(16)	2871531109026367589	0 2 42 60 62 68 90 102 140 152 174 180 182 200 240 242	2224851147030