Prime p₀= 2451016415357666501 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 10 2 64 2 10 2 76 2 (?)
a_n: 0 2 78 80 90 92 156 158 168 170 246 248
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: JayPi
db: batch=82, k=12, 2 76 2 10 2 64

SPT(16)	2451014868582304523	0 30 48 74 90 116 144 146 168 170 198 224 240 266 284 314	-1546775361978
SPT(16)	2451015219307396921	0 22 28 36 78 88 102 112 156 166 180 190 232 240 246 268	-1196050269580
STPT(10)	2451015429862019429	0 2 12 14 90 92 168 170 180 182	-985495647072
SPT(16)	2451015440036975183	0 14 60 80 98 114 170 180 224 234 290 306 324 344 390 404	-975320691318
SPT(16)	2451015528304658537	0 32 36 62 66 104 134 140 186 192 222 260 264 290 294 326	-887053007964
SPT(16)	2451016409286043763	0 30 38 68 114 140 156 180 194 218 234 260 306 336 344 374	-6071622738
SPT(16)	2451016505133285191	0 32 90 180 216 222 242 258 320 336 356 362 398 488 546 578	89775618690
SPT(16)	2451016611286296941	0 18 56 90 108 116 210 222 236 248 342 350 368 402 440 458	195928630440
SPT(16)	2451016743987819823	0 18 30 36 40 46 78 88 96 106 138 144 148 154 166 184	328630153322
SPT(16)	2451016843680684101	0 30 32 42 78 102 110 170 210 270 278 302 338 348 350 380	428323017600
SPT(16)	2451016922289755669	0 14 48 54 72 80 108 114 188 194 222 230 248 254 288 302	506932089168