Prime p₀= 1040717889416463257 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: stoneageman
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1040716945121198089	0 12 28 42 52 72 118 142 150 174 220 240 250 264 280 292	-944295265168
STPT(10)	1040716966400266679	0 2 18 20 30 32 42 44 60 62	-923016196578
SPT(16)	1040716993379974961	0 32 56 72 96 120 140 176 186 222 242 266 290 306 330 362	-896036488296
SPT(18)	1040717283636967537	0 40 60 82 96 102 130 142 172 234 264 276 304 310 324 346 366 406	-605779495720
STPT(10)	1040717364089612057	0 2 30 32 60 62 90 92 120 122	-525326851200
SPT(16)	1040717637024405371	0 12 48 120 126 146 168 198 230 260 282 302 308 380 416 428	-252392057886
SPT(16)	1040717973075993631	0 30 46 60 156 160 250 276 370 396 486 490 586 600 616 646	83659530374
SPT(16)	1040718018140423401	0 16 22 60 70 76 186 228 370 412 522 528 538 576 582 598	128723960144
STPT(10)	1040718071465486387	0 2 30 32 42 44 54 56 84 86	182049023130
STPT(10)	1040718141886403969	0 2 18 20 30 32 42 44 60 62	252469940712
STPT(10)	1040718426205878347	0 2 42 44 72 74 102 104 144 146	536789415090