Prime p₀= 3963411541198097057 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 114 116
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: [AF] Kalianthys
db: batch=84, k=12, 2 10 2 40 2 4

SPT(16)	3963409890638912173	0 10 76 84 94 106 120 126 154 160 174 186 196 204 270 280	-1650559184884
STPT(10)	3963410260136777531	0 2 6 8 48 50 90 92 96 98	-1281061319526
SPT(16)	3963410330651524273	0 30 100 114 154 160 174 226 234 286 300 306 346 360 430 460	-1210546572784
SPT(16)	3963410416017214867	0 6 22 34 124 172 190 216 250 276 294 342 432 444 460 466	-1125180882190
SPT(16)	3963410506934943047	0 74 86 110 132 180 242 252 284 294 356 404 426 450 462 536	-1034263154010
STPT(10)	3963411525787279997	0 2 30 32 72 74 114 116 144 146	-15410817060
SPT(16)	3963411768834652903	0 6 28 30 40 46 88 90 124 126 168 174 184 186 208 214	227636555846
SPT(16)	3963411836998049959	0 12 42 54 94 102 130 144 160 174 202 210 250 262 292 304	295799952902
STPT(10)	3963412213247322959	0 2 12 14 30 32 48 50 60 62	672049225902
SPT(18)	3963412712607832637	0 2 30 32 66 222 270 296 300 332 336 362 410 566 600 602 630 632	1171409735580
SPT(16)	3963412942002631511	0 38 50 60 72 78 108 120 128 140 170 176 188 198 210 248	1400804534454