Prime p₀= 2101567942450496579 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 76 2 10 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 132 134 210 212 252 254
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: 254
Found by: Landjunge
db: batch=80, k=12, 2 40 2 76 2 10

STPT(10)	2101565434286173151	0 2 6 8 18 20 30 32 36 38	-2508164323428
STPT(10)	2101566447691496909	0 2 12 14 30 32 48 50 60 62	-1494758999670
SPT(16)	2101566590060435063	0 14 48 54 104 128 146 168 236 258 276 300 350 356 390 404	-1352390061516
STPT(10)	2101566591985734149	0 2 48 50 90 92 132 134 180 182	-1350464762430
STPT(10)	2101566671385960587	0 2 54 56 72 74 90 92 144 146	-1271064535992
SPT(16)	2101566953189007719	0 8 42 72 104 114 134 150 182 198 218 228 260 290 324 332	-989261488860
SPT(16)	2101568076791376727	0 10 24 72 112 156 174 186 310 322 340 384 424 472 486 496	134340880148
SPT(16)	2101568404487483209	0 24 42 54 70 84 90 124 288 322 328 342 358 370 388 412	462036986630
SPT(16)	2101568460655395533	0 18 50 60 126 140 146 170 174 198 204 218 284 294 326 344	518204898954
STPT(10)	2101568489987001977	0 2 30 32 42 44 54 56 84 86	547536505398
STPT(10)	2101568623918889087	0 2 30 32 42 44 54 56 84 86	681468392508