Prime p₀= 2677257134820827087 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 102 104
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: 104
Found by: JayPi
db: batch=82, k=12, 2 10 2 28 2 16

SPT(18)	2677256381570693863	0 24 30 48 64 100 106 118 120 154 156 168 174 210 226 244 250 274	-753250133224
SPT(16)	2677256776343194319	0 14 44 98 120 128 150 170 192 212 234 242 264 318 348 362	-358477632768
SPT(16)	2677256888328503141	0 6 20 38 56 66 68 72 146 150 152 162 180 198 212 218	-246492323946
SPT(16)	2677256929144949407	0 34 84 166 174 190 196 240 256 300 306 322 330 412 462 496	-205675877680
STPT(10)	2677257010091098619	0 2 18 20 30 32 42 44 60 62	-124729728468
SPT(20)	2677257108847793047	0 30 34 72 142 186 196 202 210 234 262 286 294 300 310 354 424 462 466 496	-25973034040
SPT(16)	2677257507854869769	0 74 92 102 114 152 180 200 264 284 312 350 362 372 390 464	373034042682
SPT(16)	2677257682199498639	0 24 54 90 104 114 128 170 192 234 248 258 272 308 338 362	547378671552
SPT(16)	2677257842608874689	0 64 82 114 180 250 258 264 268 274 282 352 418 450 468 532	707788047602
STPT(10)	2677258257452518841	0 2 6 8 48 50 90 92 96 98	1122631691754
SPT(16)	2677258334450246347	0 10 36 40 66 94 100 106 114 120 126 154 180 184 210 220	1199629419260