Prime p₀= 2431560993983668289 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 88 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 120 122 138 140 150 152
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: 152
Found by: JonS
db: batch=82, k=12, 2 10 2 16 2 88

SPT(16)	2431559665039616351	0 30 66 92 108 146 158 188 270 300 312 350 366 392 428 458	-1328944051938
STPT(10)	2431560326647268777	0 2 30 32 102 104 174 176 204 206	-667336399512
SPT(16)	2431560400729916777	0 54 60 66 96 102 116 126 170 180 194 200 230 236 242 296	-593253751512
SPT(16)	2431560599526268291	0 12 60 72 90 118 132 138 202 208 222 250 268 280 328 340	-394457399998
STPT(10)	2431560871912520531	0 2 78 80 138 140 198 200 276 278	-122071147758
STPT(10)	2431560932805766121	0 2 6 8 48 50 90 92 96 98	-61177902168
SPT(16)	2431561295889359407	0 34 36 54 64 112 120 142 144 166 174 222 232 250 252 286	301905691118
TPT(14)	2431561471132599437	0 2 30 32 60 62 84 86 132 134 144 146 210 212	477148931148
SPT(16)	2431561574463739021	0 42 100 126 166 208 232 276 292 336 360 402 442 468 526 568	580480070732
SPT(16)	2431561905631753457	0 120 150 170 210 234 246 290 300 344 356 380 420 440 470 590	911648085168
TPT(14)	2431562662099404917	0 2 24 26 54 56 72 74 354 356 402 404 462 464	1668115736628