Prime p₀= 1538915595557144417 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: Spectrum
db: batch=78, k=10, 2 28 2 10 2

STPT(10)	1538914392276750857	0 2 30 32 42 44 54 56 84 86	-1203280393560
SPT(16)	1538914542691202959	0 24 60 88 90 102 150 184 228 262 310 322 324 352 388 412	-1052865941458
SPT(16)	1538914557190871633	0 14 26 38 48 56 80 86 108 114 138 146 156 168 180 194	-1038366272784
STPT(10)	1538914636430103599	0 2 18 20 30 32 42 44 60 62	-959127040818
SPT(16)	1538914706631013391	0 26 32 42 60 96 108 120 158 170 182 218 236 246 252 278	-888926131026
STPT(10)	1538915267356979999	0 2 12 14 90 92 168 170 180 182	-328200164418
STPT(10)	1538915601818400269	0 2 48 50 60 62 72 74 120 122	6261255852
STPT(10)	1538916016347035057	0 2 30 32 42 44 54 56 84 86	420789890640
SPT(16)	1538916042063605251	0 18 22 60 78 126 156 168 190 202 232 280 298 336 340 358	446506460834
SPT(16)	1538916054140370239	0 8 42 54 78 122 138 144 308 314 330 374 398 410 444 452	458583225822
SPT(16)	1538916103515300563	0 18 20 36 54 56 104 144 170 210 258 260 278 294 296 314	507958156146