Prime p₀= 1262343525630758537 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 136 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 180 182 192 194 222 224
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: 224
Found by: Coleslaw
db: batch=77, k=12, 2 28 2 10 2 136

SPT(16)	1262341199868019637	0 2 6 20 72 86 90 210 356 476 480 494 546 560 564 566	-2325762738900
SPT(16)	1262341594303619309	0 72 102 132 168 174 182 254 258 330 338 344 380 410 440 512	-1931327139228
STPT(10)	1262341670641961849	0 2 18 20 30 32 42 44 60 62	-1854988796688
TPT(14)	1262343007577083559	0 2 30 32 78 80 108 110 150 152 282 284 288 290	-518053674978
STPT(10)	1262343081240817781	0 2 6 8 18 20 30 32 36 38	-444389940756
SPT(16)	1262343516044345513	0 8 38 44 56 140 176 186 188 198 234 318 330 336 366 374	-9586413024
SPT(16)	1262343626741569439	0 68 140 144 158 210 224 260 288 324 338 390 404 408 480 548	101110810902
SPT(16)	1262343778041029653	0 6 16 28 84 88 100 106 138 144 156 160 216 228 238 244	252410271116
SPT(16)	1262343934838673413	0 20 74 84 86 110 116 126 158 168 174 198 200 210 264 284	409207914876
SPT(16)	1262344189568201447	0 14 32 54 80 120 122 140 204 222 224 264 290 312 330 344	663937442910
SPT(16)	1262344239338194417	0 12 52 60 126 150 250 270 292 312 412 436 502 510 550 562	713707435880