Prime p₀= 2562619317822542939 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 4 2 22 2 4 2 40 2 (?)
a_n: 0 2 42 44 48 50 72 74 78 80 120 122
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: [SG-FC] hl
db: batch=82, k=12, 2 40 2 4 2 22

SPT(16)	2562618128314370047	0 42 52 70 82 96 120 124 132 136 160 174 186 204 214 256	-1189508172892
SPT(16)	2562618141467859661	0 30 60 106 112 130 162 172 180 190 222 240 246 292 322 352	-1176354683278
SPT(16)	2562618211399036937	0 42 72 80 156 210 300 312 320 332 422 476 552 560 590 632	-1106423506002
SPT(16)	2562618471725393233	0 10 54 66 78 88 144 154 270 280 336 346 358 370 414 424	-846097149706
SPT(16)	2562618671636582761	0 10 12 42 48 72 102 130 138 166 196 220 226 256 258 268	-646185960178
STPT(10)	2562618750010008881	0 2 36 38 78 80 120 122 156 158	-567812534058
SPT(16)	2562619456173599423	0 6 60 128 138 186 210 216 248 254 278 326 336 404 458 464	138351056484
STPT(10)	2562620075610992609	0 2 42 44 60 62 78 80 120 122	757788449670
SPT(16)	2562620351231401147	0 36 82 84 124 130 136 150 166 180 186 192 232 234 280 316	1033408858208
TPT(14)	2562620728736393417	0 2 54 56 120 122 162 164 210 212 222 224 234 236	1410913850478
STPT(10)	2562620772159566477	0 2 60 62 72 74 84 86 144 146	1454337023538