Prime p₀= 2591489161012678607 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 208 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 282 284 324 326 354 356
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: 356
Found by: JayPi
db: batch=82, k=12, 2 28 2 40 2 208

STPT(10)	2591486959348852847	0 2 60 62 72 74 84 86 144 146	-2201663825760
SPT(16)	2591487144661118413	0 6 28 36 40 64 66 78 166 178 180 204 208 216 238 244	-2016351560194
STPT(10)	2591488539263576957	0 2 90 92 132 134 174 176 264 266	-621749101650
SPT(16)	2591488727622909029	0 12 24 32 42 48 54 104 108 158 164 170 180 188 200 212	-433389769578
STPT(10)	2591489082013813307	0 2 60 62 72 74 84 86 144 146	-78998865300
SPT(16)	2591489096441665661	0 8 26 30 62 66 68 120 308 360 362 366 398 402 420 428	-64571012946
SPT(16)	2591489387153186693	0 24 60 78 96 108 120 140 144 164 176 188 206 224 260 284	226140508086
SPT(16)	2591489897280530107	0 46 70 112 114 124 144 162 214 232 252 262 264 306 330 376	736267851500
STPT(10)	2591489956991729069	0 2 12 14 150 152 288 290 300 302	795979050462
SPT(16)	2591490341377166231	0 56 78 116 200 210 276 282 296 302 368 378 462 500 522 578	1180364487624
STPT(10)	2591490469468814729	0 2 12 14 30 32 48 50 60 62	1308456136122