Prime p₀= 2494198746787971371 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 64 2 52 2 34 2 52 2 64 2 (?)
a_n: 0 2 66 68 120 122 156 158 210 212 276 278
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: 278
Found by: [SG]ATA-Rolf
db: batch=82, k=12, 2 64 2 52 2 34

SPT(16)	2494197125320757767	0 52 66 82 102 130 166 262 264 360 396 424 444 460 474 526	-1621467213604
STPT(10)	2494197475894880051	0 2 6 8 18 20 30 32 36 38	-1270893091320
SPT(16)	2494197478751240351	0 18 60 62 68 78 108 162 206 260 290 300 306 308 350 368	-1268036731020
SPT(16)	2494197508400937433	0 28 54 78 84 94 96 106 168 178 180 190 196 220 246 274	-1238387033938
SPT(16)	2494198154311534387	0 16 34 112 114 124 126 132 184 190 192 202 204 282 300 316	-592476436984
STPT(10)	2494198328289169919	0 2 18 20 30 32 42 44 60 62	-418498801452
STPT(10)	2494198928232599639	0 2 18 20 30 32 42 44 60 62	181444628268
SPT(16)	2494199130162015401	0 38 48 66 68 108 156 158 180 182 230 270 272 290 300 338	383374044030
SPT(16)	2494199458043958167	0 2 54 66 104 110 144 150 356 362 396 402 440 452 504 506	711255986796
SPT(16)	2494199698314457681	0 52 60 130 142 162 228 252 346 370 436 456 468 538 546 598	951526486310
SPT(16)	2494199914524203713	0 28 66 94 148 150 168 174 190 196 214 216 270 298 336 364	1167736232342