Prime p₀= 1016247324458599967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: stoneageman
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1016246665081595383	0 118 120 148 160 210 234 244 330 340 364 414 426 454 456 574	-659377004584
STPT(10)	1016247075914059991	0 2 78 80 138 140 198 200 276 278	-248544539976
SPT(16)	1016247076042273171	0 12 70 82 118 148 202 220 288 306 360 390 426 438 496 508	-248416326796
TPT(14)	1016247102201571781	0 2 48 50 78 80 156 158 168 170 270 272 300 302	-222257028186
STPT(10)	1016247255579967517	0 2 30 32 120 122 210 212 240 242	-68878632450
SPT(13)	1016247274806562319	0 30 42 120 132 162 210 258 288 300 378 390 420	-49652037648
SPT(16)	1016247662365815307	0 10 30 64 84 94 102 114 142 154 162 172 192 226 246 256	337907215340
STPT(10)	1016247766986476411	0 2 30 32 78 80 126 128 156 158	442527876444
SPT(16)	1016247871396636997	0 2 32 54 60 62 84 114 170 200 222 224 230 252 282 284	546938037030
SPT(16)	1016247952260250981	0 6 18 60 66 76 78 88 150 160 162 172 178 220 232 238	627801651014
SPT(16)	1016248074305992117	0 36 42 64 76 102 106 130 186 210 214 240 252 274 280 316	749847392150