Prime p₀= 2159848040038481579 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 90 92
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: 92
Found by: Landjunge
db: batch=81, k=12, 2 10 2 28 2 4

STPT(10)	2159846276392696277	0 2 12 14 42 44 72 74 84 86	-1763645785302
SPT(18)	2159846289859382161	0 6 10 42 90 120 126 142 232 240 330 346 352 382 430 462 466 472	-1750179099418
SPT(16)	2159846722845505823	0 24 38 48 50 54 140 150 164 174 260 264 266 276 290 314	-1317192975756
SPT(16)	2159846795368271957	0 12 50 54 56 84 90 110 156 176 182 210 212 216 254 266	-1244670209622
TPT(14)	2159846870460817817	0 2 54 56 144 146 222 224 234 236 264 266 270 272	-1169577663762
STPT(10)	2159847588413051261	0 2 6 8 48 50 90 92 96 98	-451625430318
STPT(10)	2159848105198353497	0 2 54 56 72 74 90 92 144 146	65159871918
SPT(16)	2159848598002879871	0 42 50 86 110 120 126 150 152 176 182 192 216 252 260 302	557964398292
SPT(16)	2159848976571463391	0 12 30 42 56 90 96 102 140 146 152 186 200 212 230 242	936532981812
SPT(16)	2159849283968976191	0 56 78 102 116 126 138 230 258 350 362 372 386 410 432 488	1243930494612
SPT(16)	2159849363900985643	0 34 46 54 90 96 106 124 126 144 154 160 196 204 216 250	1323862504064