Prime p₀= 2499362270531122727 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 76 2 40 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 132 134 210 212 222 224
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: 224
Found by: JayPi
db: batch=82, k=12, 2 10 2 76 2 40

SPT(16)	2499360445866983207	0 12 26 36 60 84 132 152 174 194 242 266 290 300 314 326	-1824664139520
SPT(16)	2499360581058576479	0 2 24 30 32 80 150 194 228 272 342 390 392 398 420 422	-1689472546248
SPT(16)	2499361323732623543	0 8 26 44 68 84 86 96 128 138 140 156 180 198 216 224	-946798499184
SPT(16)	2499361690150635539	0 12 42 50 60 138 140 210 242 312 314 392 402 410 440 452	-580380487188
STPT(10)	2499361950693828131	0 2 6 8 18 20 30 32 36 38	-319837294596
STPT(10)	2499362108754574487	0 2 30 32 72 74 114 116 144 146	-161776548240
SPT(16)	2499362299361362399	0 28 94 100 118 178 198 280 282 364 384 444 462 468 534 562	28830239672
SPT(16)	2499363145991169449	0 12 24 32 80 122 134 164 180 210 222 264 312 320 332 344	875460046722
STPT(10)	2499363251055884417	0 2 12 14 42 44 72 74 84 86	980524761690
STPT(10)	2499363541152106799	0 2 42 44 60 62 78 80 120 122	1270620984072
SPT(16)	2499363920755486439	0 20 50 54 92 98 134 180 182 228 264 270 308 312 342 362	1650224363712