Prime p₀= 1033423038393439007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Theadalus
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1033419766518047333	0 18 98 104 120 146 176 200 204 228 258 284 300 306 386 404	-3271875391674
SPT(16)	1033420070647216489	0 70 112 150 222 234 240 264 268 292 298 310 382 420 462 532	-2967746222518
SPT(16)	1033420585942449811	0 12 18 36 40 42 58 88 120 150 166 168 172 190 196 208	-2452450989196
STPT(10)	1033420900154312627	0 2 60 62 72 74 84 86 144 146	-2138239126380
STPT(10)	1033421266765450271	0 2 36 38 78 80 120 122 156 158	-1771627988736
STPT(10)	1033421570594627087	0 2 30 32 42 44 54 56 84 86	-1467798811920
STPT(10)	1033423200348260177	0 2 30 32 42 44 54 56 84 86	161954821170
STPT(10)	1033423650387134189	0 2 78 80 120 122 162 164 240 242	611993695182
STPT(10)	1033423804741653329	0 2 42 44 90 92 138 140 180 182	766348214322
SPT(16)	1033423858344339367	0 12 16 24 52 120 154 162 184 192 226 294 322 330 334 346	819950900360
SPT(16)	1033423919445607897	0 22 34 36 172 186 210 252 484 526 550 564 700 702 714 736	881052168890