Prime p₀= 2367848533056206411 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 64 2 52 2 4 2 52 2 64 2 (?)
a_n: 0 2 66 68 120 122 126 128 180 182 246 248
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: 248
Found by: ChUcK
db: batch=81, k=12, 2 64 2 52 2 4

SPT(16)	2367847223443097881	0 36 46 70 78 88 136 148 198 210 258 268 276 300 310 346	-1309613108530
SPT(16)	2367847611559790639	0 2 32 42 44 48 60 102 110 152 164 168 170 180 210 212	-921496415772
STPT(10)	2367847754407566791	0 2 6 8 48 50 90 92 96 98	-778648639620
SPT(16)	2367847947982832089	0 24 34 48 60 120 130 150 172 192 202 262 274 288 298 322	-585073374322
SPT(16)	2367848007038707829	0 18 32 42 48 62 122 132 140 150 210 224 230 240 254 272	-526017498582
SPT(16)	2367848500331061313	0 54 60 66 144 180 210 228 276 294 324 360 438 444 450 504	-32725145098
STPT(10)	2367848634542152031	0 2 6 8 48 50 90 92 96 98	101485945620
TPT(14)	2367848672163580211	0 2 90 92 168 170 306 308 348 350 378 380 396 398	139107373800
STPT(10)	2367848715866431487	0 2 30 32 42 44 54 56 84 86	182810225076
STPT(10)	2367848801759061581	0 2 36 38 78 80 120 122 156 158	268702855170
SPT(16)	2367848847690708791	0 6 90 110 122 132 140 146 156 162 170 180 192 212 296 302	314634502380