Prime p₀= 960301141301578211 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 28 2 10 2 28 2 46 2 (?)
a_n: 0 2 48 50 78 80 90 92 120 122 168 170
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: 170
Found by: stoneageman
db: batch=76, k=12, 2 46 2 28 2 10

STPT(10)	960298882342176161	0 2 36 38 78 80 120 122 156 158	-2258959402050
SPT(16)	960298930654205939	0 12 14 18 54 60 150 164 258 272 362 368 404 408 410 422	-2210647372272
STPT(10)	960299022648647807	0 2 30 32 72 74 114 116 144 146	-2118652930404
TPT(14)	960299307559050059	0 2 42 44 72 74 150 152 228 230 240 242 360 362	-1833742528152
STPT(10)	960299714893397519	0 2 12 14 90 92 168 170 180 182	-1426408180692
SPT(16)	960299898583653517	0 10 42 66 96 106 112 136 156 180 186 196 226 250 282 292	-1242717924694
STPT(10)	960301390325734451	0 2 36 38 78 80 120 122 156 158	249024156240
SPT(16)	960301901178247343	0 8 18 24 36 60 66 86 198 218 224 248 260 266 276 284	759876669132
STPT(10)	960302027753450687	0 2 30 32 42 44 54 56 84 86	886451872476
SPT(18)	960302059720771699	0 10 24 52 72 88 112 162 208 294 340 390 414 430 450 478 492 502	918419193488
STPT(10)	960302541842109671	0 2 6 8 18 20 30 32 36 38	1400540531460