Prime p₀= 1178375551858892417 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 22 2 4 2 22 2 58 2 (?)
a_n: 0 2 60 62 84 86 90 92 114 116 174 176
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: 176
Found by: xii5ku
db: batch=77, k=12, 2 58 2 22 2 4

SPT(16)	1178374797856651271	0 8 32 62 78 90 92 122 126 156 158 170 186 216 240 248	-754002241146
SPT(16)	1178374818111638047	0 4 10 24 52 70 82 102 202 222 234 252 280 294 300 304	-733747254370
TPT(14)	1178374962126715019	0 2 18 20 60 62 132 134 162 164 240 242 258 260	-589732177398
STPT(10)	1178375028705935111	0 2 6 8 18 20 30 32 36 38	-523152957306
STPT(10)	1178375313993780779	0 2 30 32 60 62 90 92 120 122	-237865111638
SPT(16)	1178375528539431941	0 6 8 20 32 60 68 102 176 210 218 246 258 270 272 278	-23319460476
SPT(16)	1178375962452746047	0 4 46 64 70 106 130 160 210 240 264 300 306 324 366 370	410593853630
STPT(10)	1178376141252955829	0 2 30 32 60 62 90 92 120 122	589394063412
SPT(16)	1178376698991825653	0 8 14 48 104 110 194 306 308 420 504 510 566 600 606 614	1147132933236
SPT(16)	1178377832620646027	0 2 12 14 56 60 122 144 152 174 236 240 282 284 294 296	2280761753610
STPT(10)	1178377964655130397	0 2 54 56 132 134 210 212 264 266	2412796237980