Prime p₀= 2637565220030973599 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: RFGuy_KCCO
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2637564317402270143	0 6 18 28 46 60 96 108 118 130 166 180 198 208 220 226	-902628703456
STPT(10)	2637564320513358161	0 2 30 32 78 80 126 128 156 158	-899517615438
SPT(16)	2637564343494446711	0 8 42 48 132 156 218 308 360 450 512 536 620 626 660 668	-876536526888
SPT(16)	2637564437200221299	0 18 42 80 102 150 158 170 222 234 242 290 312 350 374 392	-782830752300
SPT(16)	2637564819576751429	0 18 28 52 138 148 172 192 250 270 294 304 390 414 424 442	-400454222170
STPT(10)	2637564901689679019	0 2 42 44 60 62 78 80 120 122	-318341294580
SPT(16)	2637565630689282913	0 16 46 78 166 180 208 210 244 246 274 288 376 408 438 454	410658309314
SPT(16)	2637565705503163033	0 4 36 58 60 70 100 120 124 144 174 184 186 208 240 244	485472189434
SPT(16)	2637565821869151539	0 2 78 98 104 114 174 204 218 248 308 318 324 344 420 422	601838177940
STPT(10)	2637565951449746069	0 2 18 20 30 32 42 44 60 62	731418772470
SPT(16)	2637565998705260611	0 6 16 30 102 106 130 148 240 258 282 286 358 372 382 388	778674287012