Prime p₀= 1245255372236252129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: mikey
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1245253199631288031	0 10 28 70 78 88 90 108 112 130 132 142 150 192 210 220	-2172604964098
STPT(10)	1245253655284982039	0 2 48 50 90 92 132 134 180 182	-1716951270090
STPT(10)	1245253755249999959	0 2 48 50 60 62 72 74 120 122	-1616986252170
SPT(16)	1245253918541349707	0 14 26 84 110 116 132 144 212 224 240 246 272 330 342 356	-1453694902422
SPT(16)	1245253992265892459	0 8 14 30 32 44 104 120 182 198 258 270 272 288 294 302	-1379970359670
SPT(16)	1245254623797520367	0 14 20 30 132 140 150 152 192 194 204 212 314 324 330 344	-748438731762
SPT(16)	1245255860847214631	0 6 32 50 60 72 116 120 182 186 230 242 252 270 296 302	488610962502
SPT(16)	1245256162366554773	0 14 26 50 54 56 74 116 144 186 204 206 210 234 246 260	790130302644
STPT(10)	1245256223295495797	0 2 12 14 42 44 72 74 84 86	851059243668
SPT(16)	1245256276464904541	0 12 60 78 146 168 180 182 186 188 200 222 290 308 356 368	904228652412
TPT(14)	1245256428567708197	0 2 84 86 90 92 222 224 324 326 342 344 390 392	1056331456068