Prime p₀= 2396866357238624387 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Xenon
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2396865448582412959	0 4 34 40 42 72 112 114 130 132 172 202 204 210 240 244	-908656211428
TPT(14)	2396865855408642599	0 2 18 20 48 50 132 134 282 284 330 332 438 440	-501829981788
STPT(10)	2396865887281555889	0 2 42 44 90 92 138 140 180 182	-469957068498
SPT(16)	2396866013904869779	0 34 60 112 174 180 184 210 214 240 244 250 312 364 390 424	-343333754608
STPT(10)	2396866078949860499	0 2 42 44 60 62 78 80 120 122	-278288763888
TPT(14)	2396866329469876877	0 2 30 32 54 56 90 92 174 176 240 242 324 326	-27768747510
SPT(16)	2396866651027224643	0 18 88 100 106 130 168 180 196 208 246 270 276 288 358 376	293788600256
SPT(16)	2396867027563762729	0 24 40 42 48 52 82 94 108 120 150 154 160 162 178 202	670325138342
STPT(10)	2396867610876595457	0 2 42 44 72 74 102 104 144 146	1253637971070
SPT(16)	2396867909328979937	0 6 36 50 54 56 74 116 120 162 180 182 186 200 230 236	1552090355550
SPT(16)	2396867952755382137	0 44 50 110 114 120 150 180 194 224 254 260 264 324 330 374	1595516757750