Prime p₀= 1253168817172151849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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=77, k=10, 2 10 2 16 2

SPT(16)	1253167326232862239	0 40 64 72 84 118 222 232 300 310 414 448 460 468 492 532	-1490939289610
STPT(10)	1253167545265426499	0 2 18 20 60 62 102 104 120 122	-1271906725350
STPT(10)	1253167911608449547	0 2 60 62 72 74 84 86 144 146	-905563702302
STPT(10)	1253168080608937847	0 2 54 56 72 74 90 92 144 146	-736563214002
SPT(16)	1253168138036204977	0 30 72 94 136 186 252 270 376 394 460 510 552 574 616 646	-679135946872
SPT(16)	1253168740576880359	0 22 42 70 88 162 178 192 250 264 280 354 372 400 420 442	-76595271490
TPT(14)	1253169050159681489	0 2 18 20 42 44 132 134 162 164 198 200 228 230	232987529640
STPT(10)	1253169097381206791	0 2 30 32 78 80 126 128 156 158	280209054942
STPT(10)	1253169326427255689	0 2 48 50 90 92 132 134 180 182	509255103840
STPT(10)	1253169353556389219	0 2 18 20 30 32 42 44 60 62	536384237370
SPT(16)	1253169903509389091	0 42 62 80 102 122 150 156 176 182 210 230 252 270 290 332	1086337237242