Prime p₀= 2161592315377926857 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 22 2 4 2 22 2 28 2 (?)
a_n: 0 2 30 32 54 56 60 62 84 86 114 116
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: 116
Found by: Landjunge
db: batch=81, k=12, 2 28 2 22 2 4

SPT(16)	2161589870167238747	0 14 42 56 140 224 234 242 294 302 312 396 480 494 522 536	-2445210688110
SPT(16)	2161590037401299123	0 56 66 68 78 90 104 146 168 210 224 236 246 248 258 314	-2277976627734
SPT(16)	2161590497672202593	0 14 24 68 84 90 110 138 260 288 308 314 330 374 384 398	-1817705724264
STPT(10)	2161591176484998077	0 2 30 32 42 44 54 56 84 86	-1138892928780
STPT(10)	2161591237560641021	0 2 36 38 78 80 120 122 156 158	-1077817285836
SPT(16)	2161592305439334203	0 60 104 128 140 144 174 200 228 254 284 288 300 324 368 428	-9938592654
STPT(10)	2161592317518715967	0 2 30 32 72 74 114 116 144 146	2140789110
SPT(16)	2161592375473126777	0 30 60 96 150 156 172 174 262 264 280 286 340 376 406 436	60095199920
SPT(16)	2161592378394478649	0 44 54 78 104 170 180 198 284 302 312 378 404 428 438 482	63016551792
STPT(10)	2161592813596546019	0 2 18 20 30 32 42 44 60 62	498218619162
TPT(14)	2161592924495389067	0 2 12 14 42 44 102 104 132 134 144 146 174 176	609117462210