Prime p₀= 1147377609789104579 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 154 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 198 200 222 224 240 242
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: 242
Found by: Alnitak2019
db: batch=76, k=12, 2 16 2 22 2 154

SPT(16)	1147376216399940133	0 34 48 54 76 90 126 166 168 208 244 258 280 286 300 334	-1393389164446
STPT(10)	1147376276992368287	0 2 12 14 72 74 132 134 144 146	-1332796736292
STPT(10)	1147376419759089431	0 2 6 8 18 20 30 32 36 38	-1190030015148
SPT(16)	1147376729068007953	0 28 30 64 88 100 118 160 168 210 228 240 264 298 300 328	-880721096626
STPT(10)	1147377073377014057	0 2 30 32 42 44 54 56 84 86	-536412090522
SPT(16)	1147377117160777247	0 42 62 92 110 162 182 194 240 252 272 324 342 372 392 434	-492628327332
STPT(10)	1147377697178895779	0 2 18 20 60 62 102 104 120 122	87389791200
SPT(16)	1147377750122802229	0 28 64 72 78 82 108 124 348 364 390 394 400 408 444 472	140333697650
STPT(10)	1147377791455120409	0 2 30 32 60 62 90 92 120 122	181666015830
STPT(10)	1147377803831125367	0 2 54 56 72 74 90 92 144 146	194042020788
SPT(16)	1147377946886413643	0 18 30 74 86 156 228 266 318 356 428 498 510 554 566 584	337097309064