Prime p₀= 2412167104801848089 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: herby44
db: batch=82, k=10, 2 46 2 40 2

SPT(18)	2412165468897389603	0 38 56 104 114 138 140 146 180 224 258 264 266 290 300 348 366 404	-1635904458486
SPT(16)	2412166046128710353	0 20 60 66 126 180 230 270 404 444 494 548 608 614 654 674	-1058673137736
STPT(10)	2412166287317487299	0 2 18 20 30 32 42 44 60 62	-817484360790
SPT(16)	2412166706401946537	0 24 42 66 80 120 140 156 170 186 206 246 260 284 302 326	-398399901552
SPT(16)	2412166976967519899	0 14 24 44 54 110 158 180 182 204 252 308 318 338 348 362	-127834328190
SPT(16)	2412167030857005371	0 26 56 68 78 138 146 180 188 222 230 290 300 312 342 368	-73944842718
SPT(16)	2412167232527653631	0 2 6 8 38 42 66 86 372 392 416 420 450 452 456 458	127725805542
STPT(10)	2412167262402998039	0 2 18 20 60 62 102 104 120 122	157601149950
SPT(16)	2412167582789497847	0 14 32 66 84 132 144 146 150 152 164 212 230 264 282 296	477987649758
SPT(16)	2412167600953739507	0 26 42 60 72 132 212 222 260 270 350 410 422 440 456 482	496151891418
SPT(16)	2412167941802250911	0 26 56 66 68 90 102 108 140 146 158 180 182 192 222 248	837000402822