Prime p₀= 1756151703763849307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Orange Kid
db: batch=79, k=10, 2 22 2 16 2

SPT(16)	1756150794238626917	0 42 60 66 96 104 110 152 174 216 222 230 260 266 284 326	-909525222390
SPT(16)	1756150916441082871	0 22 58 72 112 132 138 178 222 262 268 288 328 342 378 400	-787322766436
STPT(10)	1756151082240581627	0 2 42 44 72 74 102 104 144 146	-621523267680
STPT(10)	1756151335425049229	0 2 18 20 60 62 102 104 120 122	-368338800078
STPT(10)	1756151432000969747	0 2 42 44 102 104 162 164 204 206	-271762879560
STPT(10)	1756151628617647241	0 2 36 38 78 80 120 122 156 158	-75146202066
SPT(20)	1756152130177194469	0 12 18 88 108 124 144 150 180 210 352 382 412 418 438 454 474 544 550 562	426413345162
STPT(10)	1756152423766360589	0 2 12 14 30 32 48 50 60 62	720002511282
SPT(16)	1756152549831531239	0 20 24 38 50 78 98 128 174 204 224 252 264 278 282 302	846067681932
SPT(16)	1756153043195646761	0 12 26 50 110 116 152 158 180 186 222 228 288 312 326 338	1339431797454
SPT(16)	1756153364243413103	0 8 38 48 50 78 90 108 290 308 320 348 350 360 390 398	1660479563796