Prime p₀= 1611416171237890397 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 52 2 4 2 52 2 28 2 (?)
a_n: 0 2 30 32 84 86 90 92 144 146 174 176
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: 176
Found by: biodoc
db: batch=78, k=12, 2 28 2 52 2 4

TPT(14)	1611414555215837789	0 2 132 134 138 140 180 182 198 200 228 230 312 314	-1616022052608
SPT(16)	1611414765828119339	0 2 24 42 80 104 128 132 170 174 198 222 260 278 300 302	-1405409771058
SPT(16)	1611415376882937883	0 34 64 78 160 246 264 280 384 400 418 504 586 600 630 664	-794354952514
STPT(10)	1611415676472585407	0 2 54 56 72 74 90 92 144 146	-494765304990
SPT(16)	1611415878904767191	0 6 12 26 72 86 92 138 170 216 222 236 282 296 302 308	-292333123206
SPT(16)	1611416059716441217	0 4 16 30 66 84 106 180 280 354 376 394 430 444 456 460	-111521449180
SPT(16)	1611416393557505567	0 32 60 104 114 120 134 174 182 222 236 242 252 296 324 356	222319615170
SPT(16)	1611416451908811217	0 40 42 52 60 126 172 202 264 294 340 406 414 424 426 466	280670920820
STPT(10)	1611416778663616019	0 2 18 20 30 32 42 44 60 62	607425725622
SPT(16)	1611416858631136201	0 46 108 150 190 238 270 288 340 358 390 438 478 520 582 628	687393245804
SPT(16)	1611416871218544497	0 2 42 66 86 116 144 162 164 182 210 240 260 284 324 326	699980654100