Prime p₀= 2637539479185921677 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 46 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 90 92 120 122 132 134
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: 134
Found by: RFGuy_KCCO
db: batch=82, k=12, 2 10 2 28 2 46

STPT(10)	2637536858569331837	0 2 24 26 42 44 60 62 84 86	-2620616589840
SPT(16)	2637538219286139341	0 6 20 50 68 72 78 110 198 230 236 240 258 288 302 308	-1259899782336
SPT(16)	2637538265326421987	0 66 84 116 126 134 140 150 176 186 192 200 210 242 260 326	-1213859499690
STPT(10)	2637538909565974199	0 2 42 44 60 62 78 80 120 122	-569619947478
STPT(10)	2637539004015332771	0 2 6 8 48 50 90 92 96 98	-475170588906
STPT(10)	2637539287520175287	0 2 12 14 72 74 132 134 144 146	-191665746390
SPT(16)	2637539682165184057	0 4 60 66 72 84 94 192 274 372 382 394 400 406 462 466	202979262380
SPT(16)	2637539717144697011	0 12 30 72 80 132 138 150 170 182 188 240 248 290 308 320	237958775334
SPT(16)	2637540098964792347	0 30 84 126 140 146 156 174 236 254 264 270 284 326 380 410	619778870670
SPT(16)	2637540285921234829	0 28 42 94 102 120 234 262 330 358 472 490 498 550 564 592	806735313152
STPT(10)	2637540305638286141	0 2 30 32 60 62 90 92 120 122	826452364464