Prime p₀= 821678415045050111 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: declis
db: batch=73, k=10, 2 4 2 40 2

STPT(10)	821677665755766641	0 2 6 8 48 50 90 92 96 98	-749289283470
STPT(10)	821677820839206389	0 2 42 44 60 62 78 80 120 122	-594205843722
STPT(10)	821678216585926937	0 2 30 32 42 44 54 56 84 86	-198459123174
STPT(10)	821678218081211927	0 2 42 44 72 74 102 104 144 146	-196963838184
SPT(16)	821678234148011693	0 50 96 98 138 146 224 258 266 300 378 386 426 428 474 524	-180897038418
TPT(14)	821678300386648151	0 2 150 152 360 362 366 368 480 482 516 518 546 548	-114658401960
STPT(10)	821678705776948841	0 2 6 8 48 50 90 92 96 98	290731898730
SPT(16)	821678843055548809	0 22 28 42 48 52 78 88 174 184 210 214 220 234 240 262	428010498698
STPT(10)	821679041266938497	0 2 30 32 42 44 54 56 84 86	626221888386
SPT(16)	821679155969410087	0 6 10 12 16 40 52 126 166 240 252 276 280 282 286 292	740924359976
SPT(16)	821679161875627747	0 6 30 40 54 84 94 102 124 132 142 172 186 196 220 226	746830577636