Prime p₀= 1235114560653476429 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Theadalus
db: batch=77, k=10, 2 10 2 76 2

TPT(14)	1235112767044684247	0 2 24 26 30 32 144 146 150 152 210 212 234 236	-1793608792182
STPT(10)	1235112955775838089	0 2 18 20 30 32 42 44 60 62	-1604877638340
STPT(10)	1235113639248297701	0 2 6 8 48 50 90 92 96 98	-921405178728
SPT(16)	1235113747738599101	0 8 176 198 206 218 242 282 296 336 360 372 380 402 570 578	-812914877328
SPT(16)	1235113927848381719	0 12 78 120 140 164 182 222 230 270 288 312 332 374 440 452	-632805094710
SPT(16)	1235113976928680683	0 4 16 48 106 120 136 148 156 168 184 198 256 288 300 304	-583724795746
SPT(16)	1235114583869764991	0 72 92 108 198 210 240 266 312 338 368 380 470 486 506 578	23216288562
SPT(16)	1235114657567066239	0 12 52 112 130 208 222 264 328 370 384 462 480 540 580 592	96913589810
STPT(10)	1235115098898679247	0 2 30 32 42 44 54 56 84 86	538245202818
STPT(10)	1235115102212070809	0 2 42 44 120 122 198 200 240 242	541558594380
SPT(16)	1235115363986871667	0 42 54 66 102 112 136 172 174 210 234 244 280 292 304 346	803333395238