Prime p₀= 2315771696184637037 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2315770750929540319	0 30 48 52 78 88 90 100 162 172 174 184 210 214 232 262	-945255096718
TPT(14)	2315770862631018641	0 2 6 8 36 38 78 80 168 170 186 188 300 302	-833553618396
SPT(16)	2315770952339646839	0 20 32 74 102 120 144 164 168 188 212 230 258 300 312 332	-743844990198
SPT(16)	2315771056375242019	0 94 100 108 130 138 178 190 228 240 280 288 310 318 324 418	-639809395018
SPT(16)	2315771535484239673	0 24 64 106 114 120 124 150 154 180 184 190 198 240 280 304	-160700397364
STPT(10)	2315771679183272081	0 2 30 32 78 80 126 128 156 158	-17001364956
STPT(10)	2315772056851824617	0 2 54 56 72 74 90 92 144 146	360667187580
SPT(16)	2315772705392683267	0 64 150 174 210 234 262 280 414 432 460 484 520 544 630 694	1009208046230
STPT(10)	2315772784119266387	0 2 24 26 42 44 60 62 84 86	1087934629350
STPT(10)	2315773034797266227	0 2 30 32 42 44 54 56 84 86	1338612629190
SPT(16)	2315773054163536117	0 52 66 76 132 142 154 184 192 222 234 244 300 310 324 376	1357978899080