Prime p₀= 2140898296375224851 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: Landjunge
db: batch=80, k=12, 2 34 2 10 2 28

SPT(16)	2140895784868865987	0 2 14 30 62 110 114 152 162 200 204 252 284 300 312 314	-2511506358864
SPT(16)	2140895830454347933	0 18 24 54 58 84 88 114 124 150 154 180 184 214 220 238	-2465920876918
SPT(16)	2140896084164998949	0 18 24 84 144 164 188 200 258 270 294 314 374 434 440 458	-2212210225902
STPT(10)	2140896652492874357	0 2 54 56 72 74 90 92 144 146	-1643882350494
STPT(10)	2140897335440019599	0 2 18 20 60 62 102 104 120 122	-960935205252
SPT(16)	2140898101078364377	0 12 22 40 46 52 60 72 94 106 114 120 126 144 154 166	-195296860474
SPT(16)	2140898513248367777	0 2 50 56 114 132 156 182 324 350 374 392 450 456 504 506	216873142926
STPT(10)	2140898601700611629	0 2 30 32 60 62 90 92 120 122	305325386778
SPT(16)	2140898604569254501	0 28 46 130 156 180 192 196 252 256 268 292 318 402 420 448	308194029650
SPT(16)	2140898957241301597	0 4 36 42 90 96 126 162 214 250 280 286 334 340 372 376	660866076746
STPT(10)	2140899782835283271	0 2 6 8 48 50 90 92 96 98	1486460058420