Prime p₀= 2343754313665864709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: Landjunge
db: batch=81, k=10, 2 76 2 40 2

SPT(16)	2343753086845946201	0 12 48 56 60 108 110 122 126 138 140 188 192 200 236 248	-1226819918508
STPT(10)	2343753484377924761	0 2 6 8 18 20 30 32 36 38	-829287939948
SPT(16)	2343753486486099251	0 2 20 42 72 90 156 158 210 212 278 296 326 348 366 368	-827179765458
SPT(16)	2343753569635542187	0 36 70 106 112 120 126 132 160 166 172 180 186 222 256 292	-744030322522
SPT(16)	2343753623159208739	0 34 42 100 108 118 168 202 300 334 384 394 402 460 468 502	-690506655970
SPT(16)	2343754030466241623	0 26 48 68 84 90 110 138 146 174 194 200 216 236 258 284	-283199623086
SPT(16)	2343755040699588811	0 40 52 60 88 100 102 120 130 148 150 162 190 198 210 250	727033724102
SPT(16)	2343755114993590559	0 24 50 132 134 164 174 192 230 248 258 288 290 372 398 422	801327725850
STPT(10)	2343755286379453937	0 2 42 44 72 74 102 104 144 146	972713589228
STPT(10)	2343756345221522897	0 2 12 14 42 44 72 74 84 86	2031555658188
STPT(10)	2343756421000510331	0 2 6 8 48 50 90 92 96 98	2107334645622