Prime p₀= 2396867610876595457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Xenon
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2396866013904869779	0 34 60 112 174 180 184 210 214 240 244 250 312 364 390 424	-1596971725678
STPT(10)	2396866078949860499	0 2 42 44 60 62 78 80 120 122	-1531926734958
TPT(14)	2396866329469876877	0 2 30 32 54 56 90 92 174 176 240 242 324 326	-1281406718580
STPT(10)	2396866357238624387	0 2 30 32 42 44 54 56 84 86	-1253637971070
SPT(16)	2396866651027224643	0 18 88 100 106 130 168 180 196 208 246 270 276 288 358 376	-959849370814
SPT(16)	2396867027563762729	0 24 40 42 48 52 82 94 108 120 150 154 160 162 178 202	-583312832728
SPT(16)	2396867909328979937	0 6 36 50 54 56 74 116 120 162 180 182 186 200 230 236	298452384480
SPT(16)	2396867952755382137	0 44 50 110 114 120 150 180 194 224 254 260 264 324 330 374	341878786680
STPT(10)	2396868082466049989	0 2 18 20 30 32 42 44 60 62	471589454532
STPT(10)	2396868610673208977	0 2 30 32 42 44 54 56 84 86	999796613520
SPT(16)	2396868996306501967	0 42 66 90 154 172 180 342 544 706 714 732 796 820 844 886	1385429906510