Prime p₀= 2424312263261568917 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2424311425230467219	0 14 18 20 38 72 80 104 108 132 140 174 192 194 198 212	-838031101698
SPT(16)	2424311593817205733	0 6 16 58 120 148 160 198 328 366 378 406 468 510 520 526	-669444363184
STPT(10)	2424311599385532089	0 2 48 50 60 62 72 74 120 122	-663876036828
SPT(16)	2424311650783185991	0 16 48 60 66 168 178 270 286 378 388 490 496 508 540 556	-612478382926
SPT(16)	2424311919129702137	0 2 86 120 132 152 176 182 210 216 240 260 272 306 390 392	-344131866780
STPT(10)	2424312167847135911	0 2 36 38 78 80 120 122 156 158	-95414433006
SPT(16)	2424312311104581661	0 40 52 70 178 190 192 210 220 238 240 252 360 378 390 430	47843012744
TPT(14)	2424312593141425241	0 2 66 68 78 80 138 140 180 182 318 320 468 470	329879856324
SPT(16)	2424312959471656213	0 4 46 114 160 186 198 220 294 316 328 354 400 468 510 514	696210087296
STPT(10)	2424313259163570947	0 2 30 32 42 44 54 56 84 86	995902002030
SPT(16)	2424313569918579253	0 54 96 106 120 154 210 270 280 340 396 430 444 454 496 550	1306657010336