Prime p₀= 1294132646646169019 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: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1294131618066461879	0 18 48 90 108 138 144 150 162 168 174 204 222 264 294 312	-1028579707140
SPT(16)	1294131648328825069	0 22 40 82 100 124 210 262 282 334 420 444 462 504 522 544	-998317343950
SPT(16)	1294131952190297221	0 52 70 108 126 136 162 166 192 196 222 232 250 288 306 358	-694455871798
SPT(16)	1294132569183135659	0 18 24 120 134 164 168 174 194 200 204 234 248 344 350 368	-77463033360
TPT(16)	1294132637235735749	0 2 60 62 72 74 90 92 240 242 258 260 270 272 312 314	-9410433270
STPT(12)	1294132637235735809	0 2 12 14 30 32 180 182 198 200 210 212	-9410433210
SPT(16)	1294132999546238231	0 18 20 56 80 120 132 150 158 176 188 228 252 288 290 308	352900069212
STPT(10)	1294133555477390729	0 2 12 14 90 92 168 170 180 182	908831221710
SPT(16)	1294133689946812129	0 4 28 34 48 60 70 100 132 162 172 184 198 204 228 232	1043300643110
STPT(10)	1294133732770702247	0 2 12 14 72 74 132 134 144 146	1086124533228
SPT(16)	1294133745613410451	0 12 18 70 96 102 106 112 156 162 166 172 198 250 256 268	1098967241432