Prime p₀= 2533437667354690697 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
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: 86
Found by: [SG]ATA-Rolf
db: batch=82, k=12, 2 10 2 16 2 22

SPT(16)	2533436349962247979	0 30 82 84 142 160 172 190 222 240 252 270 328 330 382 412	-1317392442718
SPT(16)	2533436960528771417	0 14 30 54 60 66 74 116 120 162 170 176 182 206 222 236	-706825919280
STPT(10)	2533437003763387157	0 2 72 74 102 104 132 134 204 206	-663591303540
SPT(16)	2533437236749621441	0 28 46 96 142 150 172 210 238 276 298 306 352 402 420 448	-430605069256
SPT(16)	2533437266895725807	0 12 24 134 200 210 242 264 290 312 344 354 420 530 542 554	-400458964890
STPT(10)	2533437567311615519	0 2 18 20 60 62 102 104 120 122	-100043075178
SPT(16)	2533438425874252261	0 10 22 28 46 52 58 96 112 150 156 162 180 186 198 208	758519561564
SPT(16)	2533438430512262381	0 36 38 108 120 138 146 168 188 210 218 236 248 318 320 356	763157571684
SPT(16)	2533438572455046329	0 20 38 42 72 80 120 150 152 182 222 230 260 264 282 302	905100355632
SPT(16)	2533438778034713243	0 8 60 74 120 164 168 170 198 200 204 248 294 308 360 368	1110680022546
STPT(10)	2533438780484653427	0 2 12 14 42 44 72 74 84 86	1113129962730