Prime p₀= 2499058105415606297 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 118 2 76 2 118 2 10 2 (?)
a_n: 0 2 12 14 132 134 210 212 330 332 342 344
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: 344
Found by: JayPi
db: batch=82, k=12, 2 10 2 118 2 76

SPT(16)	2499056322014588473	0 34 40 48 96 106 124 148 186 210 228 238 286 294 300 334	-1783401017824
SPT(16)	2499056653622382899	0 62 104 134 152 192 210 234 248 272 290 330 348 378 420 482	-1451793223398
SPT(16)	2499057205676360633	0 36 80 134 146 156 168 170 174 176 188 198 210 264 308 344	-899739245664
STPT(12)	2499057255682222031	0 2 18 20 30 32 156 158 168 170 186 188	-849733384266
SPT(16)	2499057740595050513	0 20 98 104 114 168 170 180 218 228 230 284 294 300 378 398	-364820555784
SPT(16)	2499058104231021499	0 4 22 82 102 144 148 178 204 234 238 280 300 360 378 382	-1184584798
SPT(16)	2499058107587582647	0 22 66 94 112 120 124 126 190 192 196 204 222 250 294 316	2171976350
STPT(10)	2499058249340382797	0 2 12 14 42 44 72 74 84 86	143924776500
SPT(16)	2499058327254724639	0 28 42 60 84 150 178 180 262 264 292 358 382 400 414 442	221839118342
SPT(16)	2499058502999051837	0 20 26 30 50 54 56 104 126 174 176 180 200 204 210 230	397583445540
SPT(16)	2499058851948826187	0 12 42 116 140 146 164 186 230 252 270 276 300 374 404 416	746533219890