Prime p₀= 4506239138676430409 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 48 50 72 74 90 92
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: 92
Found by: Dingo
db: batch=85, k=12, 2 16 2 22 2 4

SPT(16)	4506237732974775023	0 30 48 66 80 146 158 168 188 198 210 276 290 308 326 356	-1405701655386
STPT(10)	4506237889704730349	0 2 18 20 60 62 102 104 120 122	-1248971700060
SPT(16)	4506237945059485777	0 22 36 46 184 252 346 360 406 420 514 582 720 730 744 766	-1193616944632
STPT(10)	4506237982068071279	0 2 30 32 60 62 90 92 120 122	-1156608359130
SPT(16)	4506238100964983167	0 12 54 66 70 142 184 196 210 222 264 336 340 352 394 406	-1037711447242
SPT(16)	4506238165787191283	0 50 66 86 114 146 150 176 198 224 228 260 288 308 324 374	-972889239126
SPT(16)	4506239176832154263	0 38 66 80 104 134 144 150 344 350 360 390 414 428 456 494	38155723854
TPT(14)	4506239479148390237	0 2 72 74 90 92 102 104 132 134 204 206 282 284	340471959828
SPT(16)	4506239510490792289	0 10 18 28 42 90 112 118 144 150 172 220 234 244 252 262	371814361880
STPT(10)	4506239516512572869	0 2 18 20 30 32 42 44 60 62	377836142460
SPT(16)	4506239636849556797	0 14 32 50 66 74 90 102 104 116 132 140 156 174 192 206	498173126388