Prime p₀= 822625589897600429 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 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: GLeeM
db: batch=73, k=12, 2 10 2 28 2 4

SPT(16)	822624182597066351	0 50 60 140 150 168 188 206 270 288 308 326 336 416 426 476	-1407300534078
SPT(16)	822624339733556417	0 72 74 92 110 114 116 120 176 180 182 186 204 222 224 296	-1250164044012
STPT(10)	822624389142385787	0 2 12 14 42 44 72 74 84 86	-1200755214642
SPT(16)	822624800680084081	0 52 96 120 148 166 190 198 220 228 252 270 298 322 366 418	-789217516348
SPT(16)	822624933781059347	0 26 72 96 116 120 162 180 182 200 242 246 266 290 336 362	-656116541082
SPT(16)	822625364311925021	0 42 60 80 86 96 138 152 156 170 212 222 228 248 266 308	-225585675408
STPT(10)	822626074672682219	0 2 18 20 30 32 42 44 60 62	484775081790
SPT(16)	822626491972156549	0 12 142 198 222 238 250 252 340 342 354 370 394 450 580 592	902074556120
STPT(10)	822626749642561349	0 2 12 14 90 92 168 170 180 182	1159744960920
SPT(16)	822626894102415251	0 20 26 50 62 66 110 150 152 192 236 240 252 276 282 302	1304204814822
SPT(16)	822627033084354917	0 2 66 80 90 156 182 206 216 240 266 332 342 356 420 422	1443186754488