Prime p₀= 2396093912145691799 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2396093132447704967	0 2 60 62 144 146 222 224 264 266 294 296 300 302	-779697986832
SPT(16)	2396093182924431343	0 16 78 84 118 148 160 168 196 204 216 246 280 286 348 364	-729221260456
SPT(13)	2396093430900617551	0 6 48 90 108 126 168 210 228 246 288 330 336	-481245074248
SPT(16)	2396093591858765941	0 6 42 58 102 112 142 160 168 186 216 226 270 286 322 328	-320286925858
SPT(16)	2396093602701082139	0 8 14 30 38 42 92 104 108 120 170 174 182 198 204 212	-309444609660
SPT(16)	2396093709396790213	0 4 6 18 88 90 94 118 126 150 154 156 226 238 240 244	-202748901586
STPT(10)	2396094508377875717	0 2 24 26 42 44 60 62 84 86	596232183918
SPT(16)	2396095076199521843	0 6 24 26 38 66 68 90 104 126 128 156 168 170 188 194	1164053830044
SPT(16)	2396095182008117903	0 48 54 84 98 120 134 140 144 150 164 186 200 230 236 284	1269862426104
STPT(10)	2396095514051051207	0 2 42 44 132 134 222 224 264 266	1601905359408
SPT(16)	2396095847528012869	0 22 40 42 72 78 88 108 142 162 172 178 208 210 228 250	1935382321070