Prime p₀= 2666665003864899137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 10 2 10 2 88 2 (?)
a_n: 0 2 90 92 102 104 114 116 204 206
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: 206
Found by: [SG-FC] hl
db: batch=82, k=10, 2 88 2 10 2

SPT(16)	2666663747394739327	0 42 60 96 120 124 270 280 306 316 462 466 490 526 544 586	-1256470159810
SPT(16)	2666663983127316401	0 26 42 62 66 92 116 150 302 336 360 386 390 410 426 452	-1020737582736
STPT(10)	2666664001590106877	0 2 60 62 72 74 84 86 144 146	-1002274792260
TPT(14)	2666664030793052177	0 2 24 26 30 32 42 44 114 116 222 224 240 242	-973071846960
SPT(16)	2666664389385725089	0 34 60 64 132 138 174 204 208 238 274 280 348 352 378 412	-614479174048
STPT(10)	2666664675882600641	0 2 66 68 108 110 150 152 216 218	-327982298496
SPT(16)	2666666084644985131	0 10 42 48 106 130 168 186 202 220 258 282 340 346 378 388	1080780085994
TPT(14)	2666666394568947047	0 2 12 14 54 56 90 92 102 104 132 134 180 182	1390704047910
SPT(16)	2666666848629190741	0 36 42 46 76 88 90 132 166 208 210 222 252 256 262 298	1844764291604
STPT(10)	2666667390454779791	0 2 30 32 78 80 126 128 156 158	2386589880654
STPT(10)	2666667505702053911	0 2 30 32 78 80 126 128 156 158	2501837154774