Prime p₀= 1271979691668445997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: xii5ku
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1271979355108998629	0 2 30 32 60 62 90 92 120 122	-336559447368
STPT(10)	1271979530976125687	0 2 60 62 102 104 144 146 204 206	-160692320310
SPT(16)	1271979610336240667	0 2 36 44 56 66 92 114 122 144 170 180 192 200 234 236	-81332205330
SPT(16)	1271979611075490259	0 4 54 132 160 174 192 202 270 280 298 312 340 418 468 472	-80592955738
SPT(16)	1271979655946983117	0 12 52 54 114 136 166 186 400 420 450 472 532 534 574 586	-35721462880
STPT(10)	1271979667303403417	0 2 60 62 72 74 84 86 144 146	-24365042580
SPT(16)	1271980005852383249	0 32 42 60 80 92 120 132 158 170 198 210 230 248 258 290	314183937252
STPT(10)	1271980206565370969	0 2 18 20 60 62 102 104 120 122	514896924972
SPT(16)	1271980341300277991	0 20 42 48 72 78 90 152 156 218 230 236 260 266 288 308	649631831994
SPT(16)	1271980428956035231	0 6 42 60 112 160 180 192 196 208 228 276 328 346 382 388	737287589234
STPT(10)	1271980994577024341	0 2 30 32 120 122 210 212 240 242	1302908578344