Prime p₀= 2729494451129034107 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 82 2 4 2 82 2 28 2 (?)
a_n: 0 2 30 32 114 116 120 122 204 206 234 236
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: 236
Found by: JayPi
db: batch=82, k=12, 2 28 2 82 2 4

SPT(16)	2729493757967179267	0 16 30 36 70 102 106 126 130 150 154 186 220 226 240 256	-693161854840
SPT(16)	2729493778249151443	0 6 24 28 36 70 76 90 124 138 144 178 186 190 208 214	-672879882664
SPT(16)	2729493800133997427	0 6 12 20 26 66 86 150 212 276 296 336 342 350 356 362	-650995036680
SPT(16)	2729493859018156889	0 2 44 54 92 162 170 180 182 192 200 270 308 318 360 362	-592110877218
SPT(16)	2729494343953208759	0 44 68 72 90 102 180 198 254 272 350 362 380 384 408 452	-107175825348
TPT(14)	2729494415350706219	0 2 30 32 60 62 102 104 150 152 210 212 282 284	-35778327888
STPT(10)	2729494558922771207	0 2 12 14 42 44 72 74 84 86	107793737100
SPT(16)	2729494800310009877	0 96 104 110 126 132 140 144 182 186 194 200 216 222 230 326	349180975770
STPT(10)	2729495085739899437	0 2 42 44 102 104 162 164 204 206	634610865330
SPT(16)	2729495262564738433	0 30 78 154 190 216 226 280 294 348 358 384 420 496 544 574	811435704326
TPT(14)	2729495538179823989	0 2 330 332 420 422 510 512 552 554 582 584 630 632	1087050789882