Prime p₀= 2536605225569872199 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: 122
Found by: JayPi
db: batch=82, k=12, 2 10 2 28 2 34

SPT(16)	2536603521120621551	0 2 20 30 62 78 92 98 120 126 140 156 188 198 216 218	-1704449250648
SPT(16)	2536603650538547479	0 4 10 22 30 54 102 120 172 190 238 262 270 282 288 292	-1575031324720
SPT(16)	2536604205608603989	0 52 82 148 160 178 192 232 360 400 414 432 444 510 540 592	-1019961268210
SPT(16)	2536604296141731461	0 8 18 20 48 50 92 98 150 156 198 200 228 230 240 248	-929428140738
STPT(10)	2536604875793271419	0 2 42 44 90 92 138 140 180 182	-349776600780
SPT(16)	2536605105585309391	0 6 66 90 96 112 138 142 216 220 246 262 268 292 352 358	-119984562808
SPT(16)	2536605351635932147	0 22 30 36 70 102 126 130 156 160 184 216 250 256 264 286	126066059948
SPT(16)	2536605421071049829	0 44 98 132 134 200 204 218 264 278 282 348 350 384 438 482	195501177630
SPT(16)	2536606062244172327	0 30 44 56 62 126 140 162 224 246 260 324 330 342 356 386	836674300128
SPT(16)	2536606591144356041	0 12 20 26 42 68 80 110 168 198 210 236 252 258 266 278	1365574483842
STPT(10)	2536606682305616111	0 2 36 38 78 80 120 122 156 158	1456735743912