Prime p₀= 2236022937217590557 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 58 2 94 2 58 2 22 2 (?)
a_n: 0 2 24 26 84 86 180 182 240 242 264 266
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: 266
Found by: Penguin
db: batch=81, k=12, 2 22 2 58 2 94

SPT(16)	2236022382376094099	0 8 54 60 90 102 110 120 152 162 170 182 212 218 264 272	-554841496458
SPT(16)	2236022393883937973	0 6 26 44 80 84 90 174 290 374 380 384 420 438 458 464	-543333652584
TPT(14)	2236022503308395231	0 2 258 260 276 278 330 332 378 380 420 422 456 458	-433909195326
SPT(16)	2236022800097891551	0 42 48 52 70 108 112 180 190 258 262 300 318 322 328 370	-137119699006
SPT(16)	2236022853145496587	0 22 84 112 154 190 204 214 240 250 264 300 342 370 432 454	-84072093970
SPT(16)	2236022858962836157	0 4 34 40 42 54 106 112 174 180 232 244 246 252 282 286	-78254754400
SPT(16)	2236023100727559233	0 18 24 56 80 98 126 146 168 188 216 234 258 290 296 314	163509968676
SPT(16)	2236023169823985959	0 50 72 92 120 128 134 152 330 348 354 362 390 410 432 482	232606395402
SPT(16)	2236023623302456147	0 10 30 52 70 84 96 112 114 130 142 156 174 196 216 226	686084865590
SPT(16)	2236023815962014779	0 44 50 78 120 134 152 164 198 210 228 242 284 312 318 362	878744424222
SPT(16)	2236024049812355137	0 66 136 154 180 186 220 256 264 300 334 340 366 384 454 520	1112594764580