Prime p₀= 1295716680802533989 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 94 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 138 140 150 152 180 182
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: 182
Found by: Cruncher Pete
db: batch=77, k=12, 2 28 2 10 2 94

STPT(10)	1295715884495034419	0 2 18 20 30 32 42 44 60 62	-796307499570
SPT(16)	1295715900166198213	0 30 48 58 70 76 94 114 160 180 198 204 216 226 244 274	-780636335776
STPT(10)	1295716227984387899	0 2 18 20 30 32 42 44 60 62	-452818146090
STPT(10)	1295716455180775877	0 2 60 62 72 74 84 86 144 146	-225621758112
STPT(10)	1295716498179720047	0 2 54 56 72 74 90 92 144 146	-182622813942
STPT(10)	1295716530365330807	0 2 30 32 42 44 54 56 84 86	-150437203182
SPT(16)	1295716863902966459	0 30 42 80 104 114 162 204 218 260 308 318 342 380 392 422	183100432470
SPT(16)	1295716956729310417	0 12 22 30 40 130 162 172 222 232 264 354 364 372 382 394	275926776428
STPT(10)	1295717467722335387	0 2 30 32 72 74 114 116 144 146	786919801398
SPT(16)	1295717871865890391	0 6 22 42 66 72 76 78 100 102 106 112 136 156 172 178	1191063356402
SPT(16)	1295718191148674087	0 2 36 56 170 182 210 212 354 356 384 396 510 530 564 566	1510346140098