Prime p₀= 2341243097745114851 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: eclipse99
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2341241454985909499	0 24 48 50 60 122 128 162 170 204 210 272 282 284 308 332	-1642759205352
TPT(14)	2341241885896066499	0 2 78 80 90 92 108 110 150 152 162 164 192 194	-1211849048352
SPT(16)	2341242146860751377	0 12 40 42 70 112 124 172 174 222 234 276 304 306 334 346	-950884363474
SPT(16)	2341242416892396929	0 14 30 32 60 72 84 120 182 218 230 242 270 272 288 302	-680852717922
SPT(16)	2341242470161770067	0 6 40 60 70 120 162 250 252 340 382 432 442 462 496 502	-627583344784
STPT(10)	2341242596997695777	0 2 12 14 42 44 72 74 84 86	-500747419074
STPT(10)	2341243204056203009	0 2 12 14 90 92 168 170 180 182	106311088158
SPT(16)	2341243372143836591	0 2 8 32 68 72 182 198 200 216 326 330 366 390 396 398	274398721740
SPT(16)	2341243693322841533	0 20 36 48 90 108 120 146 150 176 188 206 248 260 276 296	595577726682
STPT(10)	2341244049109949741	0 2 6 8 18 20 30 32 36 38	951364834890
SPT(16)	2341244253521212489	0 22 48 94 102 118 132 150 172 190 204 220 228 274 300 322	1155776097638