Prime p₀= 1016913157934764859 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: stoneageman
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1016912273490109411	0 52 78 120 162 192 202 210 280 288 298 328 370 412 438 490	-884444655448
STPT(10)	1016912289606404039	0 2 30 32 60 62 90 92 120 122	-868328360820
SPT(16)	1016912409062615201	0 30 38 86 90 108 122 138 140 156 170 188 192 240 248 278	-748872149658
SPT(16)	1016912505007951313	0 48 56 90 266 314 320 324 380 384 390 438 614 648 656 704	-652926813546
STPT(10)	1016912536112462411	0 2 36 38 78 80 120 122 156 158	-621822302448
SPT(13)	1016913113331181933	0 6 48 66 96 126 138 150 180 210 228 270 276	-44603582926
SPT(16)	1016913255341062543	0 18 28 76 88 90 100 148 156 204 214 216 228 276 286 304	97406297684
SPT(16)	1016913611499739493	0 14 44 66 96 108 126 144 290 308 326 338 368 390 420 434	453564974634
SPT(16)	1016914136220573313	0 4 46 76 88 154 160 178 186 204 210 276 288 318 360 364	978285808454
SPT(16)	1016914170781765127	0 2 32 42 44 54 60 114 170 224 230 240 242 252 282 284	1012847000268
SPT(20)	1016914191140592839	0 20 42 50 108 164 254 300 318 320 402 404 422 468 558 614 672 680 702 722	1033205827980